Murphy is a two-time winner of Europe's top club prize, while Ellis had just celebrated his 20th birthday when he appeared in the win over Munster in 2002 and Hamilton got his first taste of the competition last term.
"The final win in Paris was obviously a very special occasion," said Murphy when asked about his memories of Heineken Cup campaigns, "and the following year was very special for me personally because it was against Munster."
Ellis says he looks forward to playing against new rivals, which this season means French side Bourgoin, and Hamilton hopes to build on the experience he gained last season.
All three revealed their thoughts on the opening game against Munster on October 22, and also talked about training at Tigers, their Heineken Cup "dream team" and their ambitions for the future.
Tickets are on sale now for the next members' night on Wednesday November 15, featuring summer signings Martin Castrogiovanni, Marcos Ayerza, Paul Burke, Jordan Crane, Frank Murphy and Gavin Hickie, The evening starts with food from 7pm, with the question-and-answer session from 8pm.
Prices are: Members and season ticket holders £17, Non-members £20. To book your tickets please contact the ticket office on 08701 28 34 30 or email [email protected]