Flanker CJ Stander bagged two tries as Munster sealed a 43-21 bonus point win over Zebre in Parma.
Zebre headed into the game in confidence following an encouraging performance in defeat to Connacht last week, while Munster had been buoyed by an opening-day win over Edinburgh.
Within the first 15 minutes the visitors established a six-point lead, as they capitalised on Zebre's indiscipline twice through the boot of JJ Hanrahan.
Luciano Orquera responded with a penalty goal for the hosts to narrow the deficit, before he crashed over for a try, but he was unable to convert the latter score.
At 3-8, the contest remained open, and Hanrahan's third penalty of the evening brought the two teams closer, but Orquera's second penalty followed by a try from Andrea De Marchi which was converted by Giovanbattista Venditti, made it 18-9 to Zebre at half-time.
The second-half was a different story, however, as Munster cut loose through four second-half tries and 34 points in total to seal a comfortable away win.
Hanrahan's penalty early after the restart narrow Zebre's lead, before the deficit was swallowed up completely and the advantage passed to Munster when he converted Paddy Butler's try.
Denis Hurley's effort just shy of the hour put Munster further in front, before they sealed the win and underlined their superiority through further tries from CJ Stander and Ian Keatley, which Hanrahan converted comfortably.
The second-half performance offered a glimpse of what Munster could be capable of this season, and they will head in next week's visit of Treviso in confident mood.
Tries: Orquera, Manici
Pens: Orquera 3
Yellow Cards: Ratuvou, Berryman
Tries: Butler, Stander 2, Keatley
Cons: Hanrahan 3, Keatley
Pens: Keatley 5
Zebre: 15 Ruggero Trevisan, 14 Leonardo Sarto, 13 Kameli Ratuvou, 12 Gonzalo Garcria, 11 Giovanbattista Venditti, 10 Luciano Orquera, 9 Brendon Leonard, 8 Samuela Vunisa, 7 Andries van Schalkwyk, 6 Filippo Ferrarini, 5 Marco Bortolami (c), 4 Quintin Geldenhuys, 3 Luca Redolfini, 2 Andrea Manici, 1 Salvatore Perugini.
Replacements: 16 Davide Giazzon, 17 Matias Aguero, 18 Dario Chistolini, 19 George Biagi, 20 Filippo Cristiano, 21 Alberto Chillon, 22 Tommaso Iannone, 23 Dion Berryman.
Munster: 15 Denis Hurley, 14 Johne Murphy, 13 Casey Laulala, 12 Ivan Dineen, 11 Andrew Conway, 10 JJ Hanrahan, 9 Cathal Sheridan, 8 Paddy Butler, 7 Tommy O'Donnell, 6 CJ Stander, 5 Ian Nagle, 4 Donnacha Ryan, 3 John Ryan, 2 Damian Varley (c), 1 Dave Kilcoyne.
Replacements: 16 Mike Sherry, 17 James Cronin, 18 Stephen Archer, 19 Dave Foley, 20 Niall Ronan, 21 Duncan Williams, 22 Ian Keatley, 23 James Downey
Referee: Andrew McMenemy (SRU)
Assistant referees: Elia Rizzo, Francesco Russo (both FIR)
Television match official: Alan Falzone (FIR)
Citing Commissioner: Roberto Carra (FIR)