Motherwell have been fined a total of €25,000 for fan behaviour during their two-legged tie with Freiburg.
The punishments relate to a pitch incursion during the first leg at Fir Park, in which they took an early lead before losing 3-1 and a pyro display over in Germany.
The club has also been "officially reprimanded by the SPFL for a pitch invasion during their draw with St Mirren in Paisley.
In a communication to supporters, Motherwell have expressed their disappointmed that a request for responsible behaviour was ignored by a minority, and pleaded for no repeat instances.
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Their statement said: "Despite our request for responsible behaviour following the first two Conference League qualifying rounds, we have just received UEFA fines of €5,000 for a pitch incursion during the home leg against SC Freiburg and €20,000 for pyrotechnic discharges during the second leg in Germany.
"The club has also been officially reprimanded by the SPFL for a pitch incursion during last month’s match against St Mirren in Paisley.
"A statement from the club four weeks ago, ahead of the UEFA Conference League play-off matches, advised that due to the behaviour of some supporters, the club was already facing a significant financial cost from various UEFA fines, as well as the damage caused to HJK Helsinki’s LED boards.
"These two latest fines further increase that financial cost.
"We are disappointed that our recent communication appealing to supporters to act responsibly was ignored by a small minority of fans. At the same time, we fully recognise that the vast majority of our supporters back the team and club in a responsible manner. The support the players have received in the Faroe Islands, Finland, Germany and domestically has been absolutely incredible, and we are hugely grateful for it.
"Once again, we reiterate that we are not targeting any specific group of supporters. If you have jumped out of the stand or used pyrotechnics, we are simply asking that this does not happen again."
