Banbridge finished bottom of their pool after losing 5-3 to Hamburg in Sunday's Euro League clash in Antwerp.
Scott Caruth, Bruce McCandless and Stephen Dowds were on target for the Ulster side.
Banbridge were beaten 4-3 by French champions Montrouge in their opener on Friday in Belgium.
Cookstown followed up a 5-0 defeat by Reading by going down 10-1 to Amsterdam on Saturday, with Gareth Cuddy scoring their only goal.
Ross McCandless, Scott Forbes and Dowds netted for Banbridge in their defeat by Montrouge.
Banbridge, who are coached by former Irish international Mark Tumilty, made a great start and led 2-1 before Montrouge hit three goals without reply.