Replacement JJ Hanrahan scored the decisive drop goal in the added minutes as Munster edged out Benetton Treviso 18-16 in their Pro14 clash at Stadio Comunale di Monigo.
Jordan Larmour's try in the 69th minute proved decisive as Leinster came from behind to beat Munster 13-10 in a closely fought Pro14 encounter at Thomond Park on Saturday.
Mike Haley and Munster are enjoying their rugby at the moment but now the two-time Champions Cup winners are aiming to carry their exceptional Pro14 form into another European campaign.
Gavin Coombes scored a hat-trick as Munster maintained their perfect start in the ongoing Pro14 season with a 38-22 win over Ospreys at Thomond Park on Sunday.
Munster skipper Peter O'Mahony will be available for the club's second round of Pro14 game against Edinburgh after he was cleared to play following an independent review.
Munster successfully overcame Peter O'Mahony sent-off as they edged out Scarlets 27-30 in the opening round of the Pro14 at Parc y Scarlets on Saturday.