Rangers made a disappointing start to their Scottish Premiership campaign as they drew 0-0 with Hearts at Tynecastle.
This poor result rather compounded a lacklustre pre-season, despite manager Philippe Clement signing a contract extension on Friday.
Hearts made a quick start, with debutant James Penrice going close as he burst into the box and forced Gers goalkeeper Jack Butland into a fine stop at his near post.
The hosts continued piling on the pressure as Yan Dhanda struck the crossbar with a stylish effort.
Rangers looked more assured after the break with Cyriel Dessers heading against the corner of the crossbar and post early on after a delicious left-footed cross from Tom Lawrence, who then went close himself with a dipping volley from outside the box, which Zander Clark had to acrobatically save.
Laurence Shankland drove into the area with twenty minutes to go, but he was thwarted by an onrushing Butland, though Rangers could not any inroads going the other way.
Data debrief: Dessers dangerous but Rangers struggle
Cyriel Dessers contributed 0.65 of Rangers' 0.83 xG, having the most shots for the away side with four, as well as having the joint most touches in the opposition box of any player with seven, alongside Hearts' Shankland.
However, it was a meek attacking display overall from Rangers, who had nine shots to Hearts 18, with the home team creating 1.28 xG.
They are now unbeaten in 12 home league games, which matches their best Scottish Premiership run since November 17 to April 2018. Indeed, the last team to beat Hearts in the league at Tynecastle were Rangers, back in December last year.
Celtic 5-1 Slovan Bratislava: Engels stars as Rodgers' men make dominant start
Celtic placed down an early Champions League marker after hammering Slovan Bratislava 5-1 in Wednesday's opener.
Arne Engels teed up Liam Scales' fierce headed opener in the 17th minute at Celtic Park, before the midfielder himself scored from the penalty spot in the second half.
Kyogo Furuhashi had earlier added Celtic's second goal of the game just nine minutes before Engels' penalty, awarded for a needless pull on Alistair Johnson by Danylo Ignatenko.
Switzerland defender Kevin Wimmer reduced the arrears on the hour with a delightful outside-of-the-boot finish, though Daizen Maeda soon restored the advantage 10 minutes later after linking up with Reo Hatate.
Substitute Adam Idah rounded the scoring off with four minutes remaining, latching onto James Forrest's pass to complete a convincing triumph.
Data Debrief: Celtic firing on all cylinders
Engels' fine individual showing made him only the second player to both score and assist a goal on his Champions League debut for Celtic, after Sweden great Henrik Larsson against Juventus in September 2001.
Brendan Rodgers' side were completely dominant in every aspect, too, accumulating a massive 3.22 expected goals (xG) tally to Bratislava's minimal 0.30.
It was also just the second time Celtic have smashed four or more goals in one match in the competition, having also managed to do so in a 4-3 victory over Juve in October 2001.
With goals coming from all over the place, Celtic had five different scorers in a European Cup/Champions League match (excluding own goals) for the first time since September 1973 against TPS Turku (Dixie Deans, George Connelly, Harry Hood, James Johnstone, Thomas Callaghan).
Arsenal left wanting at Hacken as Man City seize control in Champions League qualifier
Arsenal are facing an uphill battle after a surprise defeat in their Women's Champions League qualifier, though there was no such shock for Manchester City.
Jonas Eidevall's side were defeated 1-0 in the first leg away to Hacken on Wednesday, leaving a comeback needed in the reverse fixture next Thursday.
An error from visiting defender Katie McCabe, who missed a clearance from a diagonal pass, led to Tabitha Tindell's 77th-minute winner at Bravida Arena.
Arsenal face Man City in the Women's Super League between the two Hacken clashes, and Gareth Taylor's side will head into that domestic fixture with growing confidence from a fine European showing.
City ran out comfortable 5-0 winners away to Paris FC, with Vivianne Miedema scoring the opener on her competitive debut for the club.
Jess Park doubled the lead shortly after, and added a second to her own account later on, along with goals for Mary Fowler and Chloe Kelly in a one-sided outing in France.
Elsewhere in the qualifiers, Juventus secured a 3-1 first-leg lead in a battle of two heavyweights with Paris Saint-Germain.
New signing Amalie Vangsgaard opened the scoring against her former club before Thiniba Samoura levelled with a sumptuous equaliser soon after.
Sofia Cantore set up Juve's first and found the net for the home side's second to restore their lead, before Hanna Bennison wrapped up a fine team move to seal a commanding advantage.
There was no such fortune for Juve's fellow Italian side Fiorentina, however, as Wolfsburg produced a 7-0 hammering in the first leg at Viola Park.
Wolfsburg captain Alexandra Popp dominated with a hat-trick, along with a brace from defender Marina Hegering and goals for Jule Brand and Vivien Endemann.
Sparta Prague 3-0 Salzburg: Hosts end 21-year wait for Champions League win in style
Sparta Prague enjoyed a fine return to the Champions League on Wednesday, recording a 3-0 win over Salzburg in their first game in Europe's top club competition in 19 years.
Sparta grabbed an early lead that set the tone for the league-phase opener at the Epet Arena as home fans celebrated their team's first win in the tournament since 2003.
The hosts opened the scoring just two minutes in when Kaan Kairinen pounced on a loose ball after a great save by Salzburg goalkeeper Janis Blaswich, effortlessly slotting home the rebound.
Victor Olantuji then doubled their lead in the 42nd minute, firing in from a tight angle after taking in a long ball over the top from captain Filip Panak.
Olantuji then turned provider as the hosts killed the game off just before the hour mark, assisting Qazim Laci for a coolly struck finish after a cheap giveaway from Salzburg.
Data Debrief: Long wait ends for Sparta
Sparta's victory, their first in the Champions League since beating Lazio 1-0 in December 2003, saw them halt a 14-game winless run in the competition (four draws, 10 losses).
It is also the first time they have ever started a Champions League campaign with a win, on their eighth appearance in the competition proper.
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