(MENAFN- Kora) The scottish side's bonus-point win lifted them to fourth in the table as a fast start proved crucial.
Henry pyrgos crossed twice before the break while niko matawalu also scored a try as the hosts claimed a 19-10 lead at half time.
Sean maitland scored glasgow's fourth try in the second half and that proved enough with finn russell kicking nine points for the winners.
Alberto sgarbi was responsible for treviso's sole try and tobias boates added five points but they had no answers to an impressive warriors display.
On thursday edinburgh recorded their first away win of the season by overcoming newport gwent dragons 23-19 at rodney parade.
Two penalties from fly-half jason tovey gave the hosts a 6-0 lead but jack cuthbert cut the deficit to three with a penalty of his own.
Wp nel's converted try helped edinburgh take the lead but the contest remained close as tovey booted another two penalties.
Edinburgh centre matt scott's try handed the scottish side the advantage and cuthbert added a further eight points with the boot.
And although replacement ross wardle set up a nervy finish with a late try for newport they were forced to settle for a losing bonus point.
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