Leinster have beaten Zebre 20-3 at Stadio XXV Aprile in Parma.
Ian Madigan managed a try, conversion and brace of penalties for Leinster. Luke McGrath added a second half try, converted by Jimmy Gopperth.
Leinster will next face Wasps in the Champions Cup at the RDS on 26th October.
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Meanwhile, Ulster have home advantage as they play host to an unbeaten Glasgow Warriors side at Kingspan Stadium.
At Murrayfield, tries from Dougie Fife and Tim Visser have helped Edinburgh to a 24-10 win over Dragons.