Muller, 27, missed the home win over Ingolstadt at the weekend with a stomach bug, but was fit to resume training on Monday.
Rummenigge told Der Spiegel it was a necessary step and said the Premier League's "€3.3bn per season TV deal crushes us all."
Costa breathed new life into what had been a stuttering Bayern performance, playing his part in the build-up as Xabi Alonso put Bayern 2-1 in front.
Spurs struggled to turn pressure into more than one goal but Son Heung-Min's persistence was key in Sunday's 1-0 win vs. Sunderland.
Verratti and Gunners striker Olivier Giroud were both shown red cards deep into injury time for second bookable offences.
ESPN FC's Craig Burley and Gab Marcotti debate the competitive value of the current Champions League format.