Prince Buaben's penalty and an own goal from Andrei Kalimullin secured Hearts a slender 2-1 advantage in the first leg of their Europa League first qualifying round clash against FC Infonet Tallinn at Tynecastle.
Ghanaian midfielder Buaben despatched a 28th-minute spot kick after Infonet midfielder Michael Ofosu-Appiah had handled to cancel out Jevgeni Harin's emphatic opener for the Estonians seven minutes earlier.
Hearts went two up before the break when a goalline clearance from Callum Paterson's effort rebounded back off Kalimullin and into the net, although the Scottish Premier League side were never totally comfortable against opponents who were dangerous on the break.
Niall McGinn and Adam Rooney hit dramatic late goals for Aberdeen against Fola Esch at Pittodrie.
Shay Logan's second-half opener was immediately cancelled out by Julien Klein but Aberdeen remained the dominant side and scored in added time through McGinn and Rooney to wrap up a 3-1 win.
Sean Maguire's second-half penalty secured Cork City a slender 1-0 lead to take into the second leg in an all-Irish affair against Northern Ireland Premier League side Linfield at Windsor Park.
Cork, League of Ireland Premier Division runners-up last season, broke the deadlock in the 63rd minute when Maguire coolly despatched his spot kick after Stephen Dooley had been brought down in the box.
Welsh Premier League side Bala Town must overturn a two-goal deficit in the second leg as they lost 2-0 to AIK in Sweden.
AIK midfielder Amin Affane (27) and defender Nils-Eric Johansson (51) were both on target for the Swedes.
Llandudno return from Sweden with an even bigger task ahead after they went down 5-0 in Gothenburg.
The Swedes struck twice in the first 12 minutes through midfielders Gustav Engvall and Soren Rieks before defender Emil Salomonsson (36) ensured Llandudno went in at half-time 3-0 down. Substitute Tobias Hysen added further goals in the 80th and 81st minutes.
Fellow Welsh Premier League side Gap Connah's Quay were held to a goalless draw in Rhyl against Norwegians Stabaek.
Northern Ireland Premier League side Cliftonville were grateful for an 88th-minute equaliser from Ross Lavery as they were held 1-1 in Luxembourg by Differdange, who had taken the lead through Omar Er Rafik seven minutes before the break.
Shamrock Rovers face a two-goal deficit in the return leg against Rovaniemen Palloseura as goals in each half from Jarkko Lahdenmaki (26) and Janne Saksela (74) secured the Finnish side a 2-0 win at Tallaght Stadium.
Northern Ireland Premier League side Glenavon lost 2-1 to KR Reykjavik despite taking a 14th-minute lead through Simon Kelly.
The Icelanders hit back with goals from Palmi Palmason (40) and a controversial 79th-minute penalty from Holmbert Fridjonsson, who was adjudged to have been fouled by Joel Cooper.
For all the scores from tonight's games, click here.