The second leg of both ties take place next week.
St Pat's and Shamrock Rovers both have work to do if they're to progress further in qualifying for the Conference League.
Pat's lost 4-1 to Besiktas last night in the first leg of their third round tie at Tallaght Stadium, while Rovers suffered a 1-0 defeat to Ballkani in Kosovo.
The second leg of both ties take place next week.
There are two games in the Premier Division of the SSE Airtricity League tonight.
Both matches kick off at 7.45.

Tuesday Morning Sports Update
All Ireland Football Championship Opening Round Fixtures Confirmed
Tommy O'Brien Among Injury Doubts For Leinster's Champion Cup Final On Saturday
Monday Morning Sports Update
Sunday Evening Sports Update
Mourinho's Benefica Go Unbeaten but Miss Title
Brave Kildare Fall Short in Leinster Ladies Final
Chelsea Appoint Xabi Alonso as New Manager