A late Adam Ashe try denied Treviso their first PRO12 win of the season as Glasgow won 13-6 at Scotstoun Stadium.
The five Champions Cup pool games postponed following the Paris terror attacks will take place in January.
Chris Fusaro and Ryan Grant will make their 100th Glasgow Warriors appearances when they host Benetton Treviso on Friday.
Glasgow hooker Pat MacArthur has been ruled out for around six weeks after suffering a broken jaw against Northampton.
Ahsee Tuala scored two tries as Northampton claimed a comfortable 26-15 win over Glasgow Warriors at Scotstoun.
Glasgow Warriors host Northampton Saints in Pool 3 of the European Rugby Champions Cup on Saturday evening, live on Sky Sports 5 HD.
All of this weekend's Champions Cup and Challenge Cup games in France have been postponed due to the tragic events in Paris on Friday night.
Glasgow's Rugby Champions Cup match against Racing 92 in Paris has been postponed, along with all sporting events in the region.
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