Franco Smith's side beat Munster in Round Three of the RaboDirect PRO12 and were easy winners against fellow Heineken Cup outfit Connacht a week before their European opener but they failed to fire against the inform Frenchmen at the Stadio di Monigo.
Leicester weren't at their best last week, either, as they slipped to a 22-16 defeat to Ulster in Belfast. Richard Cockerill and co took an early lead at Ravenhill but almost headed home with nothing to show for their efforts after a Tommy Bowe try and the boot of Paddy Jackson, together with Jordan Crane's yellow card, saw them trail by nine points late on.
A coolly-taken penalty from Welsh youngster Owen Williams could prove crucial at the conclusion of the group, though, with his 77th minute strike rescuing a losing bonus point and prompting Julian Salvi to suggest the Tigers will be well placed if they can pick up four tries and a victory against the Italians.
"To come away from Ulster with a point, in what is a long tournament, means that we feel we are in a good place," said Salvi.
"Treviso will try to throw the ball around and disrupt us up front, so we will have to be on our game to make sure that we get four points, if not five. We will be going for five points - that's our goal. If we can be on six points after two games, we will be sitting nicely."
That task won't be straightforward, though, with last season's games between the two teams suggesting another tight tussle this time around.
Leicester picked up a bonus-point win on home soil in last season's Heineken Cup but their winning margin was only eight points, while the away fixture almost saw them on the wrong end of one of the biggest upsets in the tournament's history.
Only a late penalty try and George Ford's conversion two minutes from time saved Leicester's blushes in Treviso as they scrapped home 14-13 in December of last year.