Alexis was drafted by the
Golden State Warriors, just one pick ahead of future
Hall of Fame member
Dražen Petrović. Alexis never played in the
National Basketball Association (NBA), though, but he went on to play in Europe until 2004. He settled in Spain for his first two years there, winning the
Korać Cup in 1988, with
Real Madrid. From 1988 until 1993, Alexis played in Italy, where he reached the
domestic championship's finals in 1989, as a team member of
Enichem Livorno. After a brief return to Forum Valladolid, he moved to Israel. As a player for
Maccabi Tel Aviv, he won the
Israeli League championship. Alexis spent another year in Italy, at
Reggio Calabria, before joining French club
Levallois. He then moved to Berlin for
ALBA, where he would stay until 2002. Alexis won the
German League championship every season there, and he was chosen as
the competition's MVP in 1997, 1998, 2000, and 2002. He is still the club's all-time leading scorer, with 5,922 points scored overall, being dubbed "Iceman" by the fans. Alexis competed in the
FIBA EuroStars games of 1997–98 and 1998–99, as a member of the Western rosters. After playing with the Greek club
PAOK, for one year, Alexis returned to Germany, and won the
FIBA Europe Cup (FIBA EuroCup Challenge) title with
Mitteldeutscher BC. ==National team career==