Alexis Alexoudis (Greek Αλέξης Αλεξούδης) (born 20 June, 1972), is a former Greek football player.
Alexoudis played most of his career for OFI Crete and Panathinaikos FC.
He played for Greece national team (4 matches/one goal), and was a participant at the 1994 FIFA World Cup.
From 22/11/95 to 1/10/97 he was at the top of the list for the fastest goals in UEFA Champions League history, thanks to a goal he scored after just 28.46 seconds into Panathinaikos FC's home match against Aalborg BK
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