The former Celtic goalkeeper is now firmly Saints' No1.
Boruc, 34, said: "Of course I'm still thinking about that European spot.
"It's going to be hard but we've shown this season that we are able to compete with the biggest clubs in England.
"I'm dreaming big and good things happen to me. I was a guy from a little town in Poland who's become a football player so I can tell you that dreams come true.
"Why not with Southampton FC? Why not play in the Champions League?"
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