Rangers substitute Eros Grezda might have trouble getting to sleep later after his last-minute miss.
However, his manager was far from downbeat after a goalless draw at home to Spartak Moscow.
Celtic have work to do to stay alive in their Europa League group but do have two home games in their run-in, so it's not all doom and gloom after their loss in Leipzig.
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What next?
Celtic and Rangers won't have time to reflect on tonight's Europa League performances since they both have massive games coming up on Sunday.
Celtic meet Hearts at Murrayfield, while Rangers take on Aberdeen at Hampden to decide this season's finalists in the League Cup.
Brendan Rodgers is sure to field a stronger side than he did tonight but Hearts are flying at the top of the league and have already beaten the champions this season.
Rangers and Aberdeen drew at Pittodrie and those games are always fiery.
There are a couple of Premiership games on Saturday too, so make sure you join us over the weekend.
'Rangers did everything but score'
FT: Rangers 0-0 Spartak Moscow
A wee bit more from Rangers manager Steven Gerrard speaking to BT Sport: "It was always going to be a 1-0 game because both sides defended very well. I'm proud of the lads because they did everything but score. It will be seen as two points dropped, but not in my mind."
Fortress Ibrox...
FT: Rangers 0-0 Spartak Moscow
Steven Thompson
Former Scotland striker on BBC Sportsound
Quote Message: There were a lot of top performers in the Rangers side and it keeps the narrative going that Ibrox is hard place to come
There were a lot of top performers in the Rangers side and it keeps the narrative going that Ibrox is hard place to come
'Rangers making huge strides'
FT: Rangers 0-0 Spartak Moscow
Rangers manager Steven Gerrard tells BT Sport: "We are making huge strides from where we were.
"We came close but it wasn't to be. It could be a valuable point at the end of the day.
"It shows just how far we've come when we are disappointed to take a point off a Champions League team.
"We set out to win the game but we probably lacked that bit of quality in the final third.
"I'd have signed up for five points at this stage but we don't relax. We are halfway through with three tough games to go."
Rangers 'needed to be more clinical'
FT: Rangers 0-0 Spartak Moscow
Rangers captain James Tavernier tells BT Sport: "We're at home, so it's disappointing. We just needed to be more clinical in the final third.
"I believe we can go over to Russia and get the three points."
'Rangers don't have too much to fear'
FT: Rangers 0-0 Spartak Moscow
Steven Thompson
Former Scotland striker on BBC Sportsound
Quote Message: Rangers' run now becomes that wee bit tougher, but they don't have too much to fear based on their European performances this season
Rangers' run now becomes that wee bit tougher, but they don't have too much to fear based on their European performances this season
Gers joint top of Group G
FT: Rangers 0-0 Spartak Moscow
Villarreal join Rangers on five points after smashing Rapid Vienna 5-0 in Spain.
The Austrians have three points and Spartak are on two ahead of their home game with Rangers on 8 November.
FULL-TIME Rangers 0-0 Spartak Moscow
It's the first time Rangers have failed to score at Ibrox this season but they remain unbeaten at home and in Europe.
There will be a tinge of frustration but five points from three games is a more than decent haul for Steven Gerrard's men.
It could have been a whole lot better if Eros Grezda had tucked in that last-gasp shot.
Post update
Rangers 0-0 Spartak Moscow
He's got to hit the target! Ryan Kent does well to kill a deep cross and roll an inviting pass to Eros Grezda but the Albanian can only blaze his first-time effort over the top from 15 yards.
What a chance, with the last kick of the ball...
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Four to go...
Rangers 0-0 Spartak Moscow
Into the final minute of regulation time now... We'll get four more in stoppage time
Post update
Can Glenn Middleton provide a creative spark for Rangers? The teenage winger is on for the final few minutes as Daniel Candeias makes way.
Post update
Rangers 0-0 Spartak Moscow
The visitors make their final change as Ivelin Popov takes over from a limping Mikhail Ignatov.
Now the Spartak keeper is down clutching his leg after punching away a cross, eating up some valuable time.
Post update
Rangers 0-0 Spartak Moscow
Ten minutes to go. This is the only game in tonight's Europa League fixtures without a goal. Can Rangers remedy that?
The Ibrox side grabbed two late goals to sink Rapid Vienna last time.
PENALTY APPEAL
Rangers 0-0 Spartak Moscow
Ryan Kent drifts into the box from the left and centres for Eros Grezda, who takes a tumble under pressure from a sliding defender.
Steven Gerrard leads the noisy appeal from the dugout but the referee is unmoved, firmly shaking his head.
Post update
A couple of Rangers players dive into tackles as Spartak open up the home side with some neat passing but Nikolai Rasskazov prods wide as he tries to find some bend with the outside of his boot.
In the balance at Ibrox
Rangers 0-0 Spartak Moscow
Steven Thompson
Former Scotland striker on BBC Sportsound
Quote Message: It's turned into a really entertaining second half and it's difficult to call which way it's going to go
It's turned into a really entertaining second half and it's difficult to call which way it's going to go
Post update
Rangers 0-0 Spartak Moscow
Eros Grezda is close to snaffling up the rebound as Alexandr Maksimenko saves from Alfredo Morelos but the keeper is quick enough to thwart the Rangers substitute.
It's heating up nicely now...
Post update
Algerian international Sofiane Hanni has been lively since coming on for the visitors. He gets plenty of punch behind a shot from 25 yards but it's straight at Rangers goalie Allan McGregor.
Post update
Rangers 0-0 Spartak Moscow
Steven Gerrard makes a change and it's defensive midfielder Ryan Jack making way for Albania winger Eros Grezda.
Live Reporting
Colin Moffat
All times stated are UK
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Latest PostGood night
Rangers substitute Eros Grezda might have trouble getting to sleep later after his last-minute miss.
However, his manager was far from downbeat after a goalless draw at home to Spartak Moscow.
Celtic have work to do to stay alive in their Europa League group but do have two home games in their run-in, so it's not all doom and gloom after their loss in Leipzig.
What next?
Celtic and Rangers won't have time to reflect on tonight's Europa League performances since they both have massive games coming up on Sunday.
Celtic meet Hearts at Murrayfield, while Rangers take on Aberdeen at Hampden to decide this season's finalists in the League Cup.
Brendan Rodgers is sure to field a stronger side than he did tonight but Hearts are flying at the top of the league and have already beaten the champions this season.
Rangers and Aberdeen drew at Pittodrie and those games are always fiery.
There are a couple of Premiership games on Saturday too, so make sure you join us over the weekend.
'Rangers did everything but score'
FT: Rangers 0-0 Spartak Moscow
A wee bit more from Rangers manager Steven Gerrard speaking to BT Sport: "It was always going to be a 1-0 game because both sides defended very well. I'm proud of the lads because they did everything but score. It will be seen as two points dropped, but not in my mind."
Fortress Ibrox...
FT: Rangers 0-0 Spartak Moscow
Steven Thompson
Former Scotland striker on BBC Sportsound
'Rangers making huge strides'
FT: Rangers 0-0 Spartak Moscow
Rangers manager Steven Gerrard tells BT Sport: "We are making huge strides from where we were.
"We came close but it wasn't to be. It could be a valuable point at the end of the day.
"It shows just how far we've come when we are disappointed to take a point off a Champions League team.
"We set out to win the game but we probably lacked that bit of quality in the final third.
"I'd have signed up for five points at this stage but we don't relax. We are halfway through with three tough games to go."
Rangers 'needed to be more clinical'
FT: Rangers 0-0 Spartak Moscow
Rangers captain James Tavernier tells BT Sport: "We're at home, so it's disappointing. We just needed to be more clinical in the final third.
"I believe we can go over to Russia and get the three points."
'Rangers don't have too much to fear'
FT: Rangers 0-0 Spartak Moscow
Steven Thompson
Former Scotland striker on BBC Sportsound
Gers joint top of Group G
FT: Rangers 0-0 Spartak Moscow
Villarreal join Rangers on five points after smashing Rapid Vienna 5-0 in Spain.
The Austrians have three points and Spartak are on two ahead of their home game with Rangers on 8 November.
FULL-TIME Rangers 0-0 Spartak Moscow
It's the first time Rangers have failed to score at Ibrox this season but they remain unbeaten at home and in Europe.
There will be a tinge of frustration but five points from three games is a more than decent haul for Steven Gerrard's men.
It could have been a whole lot better if Eros Grezda had tucked in that last-gasp shot.
Post update
Rangers 0-0 Spartak Moscow
He's got to hit the target! Ryan Kent does well to kill a deep cross and roll an inviting pass to Eros Grezda but the Albanian can only blaze his first-time effort over the top from 15 yards.
What a chance, with the last kick of the ball...
Four to go...
Rangers 0-0 Spartak Moscow
Into the final minute of regulation time now... We'll get four more in stoppage time
Post update
Can Glenn Middleton provide a creative spark for Rangers? The teenage winger is on for the final few minutes as Daniel Candeias makes way.
Post update
Rangers 0-0 Spartak Moscow
The visitors make their final change as Ivelin Popov takes over from a limping Mikhail Ignatov.
Now the Spartak keeper is down clutching his leg after punching away a cross, eating up some valuable time.
Post update
Rangers 0-0 Spartak Moscow
Ten minutes to go. This is the only game in tonight's Europa League fixtures without a goal. Can Rangers remedy that?
The Ibrox side grabbed two late goals to sink Rapid Vienna last time.
PENALTY APPEAL
Rangers 0-0 Spartak Moscow
Ryan Kent drifts into the box from the left and centres for Eros Grezda, who takes a tumble under pressure from a sliding defender.
Steven Gerrard leads the noisy appeal from the dugout but the referee is unmoved, firmly shaking his head.
Post update
A couple of Rangers players dive into tackles as Spartak open up the home side with some neat passing but Nikolai Rasskazov prods wide as he tries to find some bend with the outside of his boot.
In the balance at Ibrox
Rangers 0-0 Spartak Moscow
Steven Thompson
Former Scotland striker on BBC Sportsound
Post update
Rangers 0-0 Spartak Moscow
Eros Grezda is close to snaffling up the rebound as Alexandr Maksimenko saves from Alfredo Morelos but the keeper is quick enough to thwart the Rangers substitute.
It's heating up nicely now...
Post update
Algerian international Sofiane Hanni has been lively since coming on for the visitors. He gets plenty of punch behind a shot from 25 yards but it's straight at Rangers goalie Allan McGregor.
Post update
Rangers 0-0 Spartak Moscow
Steven Gerrard makes a change and it's defensive midfielder Ryan Jack making way for Albania winger Eros Grezda.