Bath secured a 37-12 Challenge Cup final victory over Lyon in Cardiff on Friday, but only after flanker Sam Underhill avoided a first-half red card.
Henry Slade held his nerve as Exeter launched their Champions Cup campaign with a stunning 19-18 victory over Toulon.
Former Chelsea and Brighton manager Graham Potter has declined the opportunity to take charge at Lyon.
La Rochelle broke Ulster hearts in the very final play to book a last-16 spot, while Ospreys, Saracens, Sharks and Bulls won too.
Leicester Tigers claimed a second Champions Cup win from as many rounds, beating Clermont, while Saracens dug deep to win at Lyon.
Lyon won their first major honour for 89 years as they claimed a thoroughly deserved 30-12 Challenge Cup final victory over Toulon.
Wasps bowed out of the European Challenge Cup at the semi-final stage as they were beaten 20-18 by a powerful Lyon side at the Matmut Stadium.
Karim Benzema's last-gasp winner sealed Real Madrid's stunning comeback as they recovered from 2-0 down to beat Sevilla 3-2.
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