Ante Palaversa, Topi Keskinen, Vicente Besuijen and Kevin Nisbet all struck as Aberdeen beat Dundee 4-1 to maintain the pressure at the top of the Scottish Premiership.
Pressure intensified on Hibernian manager David Gray after a limp 2-1 home defeat by St Mirren left them bottom of the Premiership.
Jack Sanders had a stoppage-time equaliser disallowed by VAR as Motherwell beat St Johnstone 2-1 at Fir Park.
Dundee United secured an ultimately comfortable 3-0 victory over Ross County at Tannadice.
Dundee United should not have been awarded a penalty that saw them equalise at Hibernian on Saturday, says the Scottish FA's key match incident (KMI) review panel.
Hearts defender Erin Husband has won the SWPL player of the month award for October, with Kilmarnock's Abby Robinson claiming the SWPL 2 prize.
Hearts produced a spirited display but were unable to maintain their perfect start in the Conference League as they went down 2-0 to Bundesliga side Heidenheim.
Cyriel Dessers cancelled out a stunning second-half strike from Ayoub El-Kaabi to earn Rangers a 1-1 draw at Olympiakos in the Europa League.
A look at some of the best Scottish Premiership goals in October featuring Celtic, Hearts, Hibernian, Kilmarnock, Motherwell, Rangers and St Mirren.
Six more Scottish Premiership games, featuring Aberdeen, Celtic, Dundee, Dundee United, Hearts, Hibernian, Rangers and Ross County will be live on Sky Sports.
It was a high-tempo performance packed with quality so should Celtic's dismantling of RB Leipzig have them dreaming of the Champions League knockout stages?
Nicolas Kuhn scored an impressive double as Celtic secured back-to-back home wins in this season's Champions League with a convincing 3-1 win against RB Leipzig.
Dermot Gallagher on the penalty awarded to Dundee United and the decision to not award one to Hibernian at Easter Road.
Aston Villa captain John McGinn and Middlesbrough's Tommy Conway have been named in Scotland's squad for their final Nations League matches against Croatia and Poland.
Rangers will defend their Scottish League Cup final crown against Celtic next month after coming from behind to beat Motherwell 2-1 in their semi-final at Hampden Park.
Struggling Hibernian suffered yet another late setback as a 90th-minute penalty from Sam Dalby salvaged a 1-1 draw for Dundee United at Easter Road.
Dundee secured a dramatic last-gasp victory over Kilmarnock after coming from two goals down at the Scot Foam Stadium.
Celtic ended Jimmy Thelin's unbeaten start as Aberdeen boss in devastating fashion to reach the Scottish League Cup final.
Vargas came off the bench to fire Hearts to their first domestic away win of the season at St Johnstone.
Ross Laidlaw saves a penalty to earn Ross County a point at St Mirren.
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