Maltsi played for the Connecticut Sun in the 2007 WNBA season. She appeared in 29 games for Connecticut, 26 in the regular season averaging 5.7 points, 1.5 assists and 2.5 rebounds per game. She scored a WNBA career high 23 points with 5/5 3-point shots against the Los Angeles Sparks at Staples Center on 7 July 2007, leading Connecticut in a 110–87 away win. She also played in 3 games in the 2007 WNBA Playoffs where Connecticut lost 2–1 to Indiana Fever in the first round. Sun wanted Maltsi to return for next year, but she had difficulties with her job in Greece.
Olympic Games
Evina Maltsi participated for the first time in Olympic Games in the 2004 Summer Olympics in Athens. Greece reached the quarter-finals but lost to the eventual champions United States 102–72. Greece finished 7th after winning New Zealand with score 87–83. Evina scored 20.9 points per game and she was third in the list, holding the tournament's record for most points in a game, with 33 against Japan. She had also 8.0 rebounds per game and she finished fifth at the tournament in this category.
Greece finished tenth at the FIBA EuroBasket 2005, with Maltsi being the ninth highest scorer of the tournament with 92 total points and 13.1 points per game. She was also one of the best players of the tournament.
Evina Maltsi led Greece into the 5th place for the first time. They lost their quarter-final to France by two points, 51–49. But Greece won two consecutive matches and took the fifth place. First they won the classification round against Slovakia with score 64–59, and then they became Europe's fifth best national team, beating Italy for the fifth place game with score 60–56. Maltsi was the FIBA EuroBasket Top Scorer and the FIBA EuroBasket steals leader. She was also selected in the FIBA EuroBasket All-Star Team and was EuroBasket's best player winning the FIBA EuroBasket MVP of the tournament award.
At the age of 39 Evina Maltsi was the captain of Greece which finished 4th at the FIBA EuroBasket 2017 after losing the Bronze medal match to Belgium. This was the first time in the history that Greece women's national basketball team played for a medal. Maltsi finished second in scoring at the tournament with 113 points and sixth in the PPG list with 16.1 points per game. She had also 4.1 assists per game finishing eighth at the tournament and 6.6 rebounds per game being the tenth best player in this category at the tournament. Evina Maltsi was Greece's best player and one of the best in the whole tournament and as a result she was selected for the FIBA EuroBasket All-Star Team for the second time after 2009.
Honours
CJM Bourges Basket
* :fr:Tournoi de la Fédération |French Federation Cup : 2007