Stephen Kenny's side were beaten 2-1 by their hosts, BATE Borisov in the first-leg of their second round qualifier but will be hoping to build on David McMillan's away goal.
The sides will meet again at Oriel Park next week.
Celtic's pursuit of a group stages place began with a 2-0 first leg qualifier win over Icelandic side Stjarnan at Parkhead.
UCD's European adventures continue this evening. The Students are in Slovakia to face Slovan Bratislava in the first leg of their second round Europa League qualifier.
Kick off there is at 7.15.
Meanwhile, Shamrock Rovers play host to Norweigan side, Odd Ballklubb in Tallaght from 8.
