Aleksinas transferred to the UConn Huskies after his sophomore season and was a second-team All-Big East Conference selection in 1981.

He was picked in the fourth round of the 1982 NBA draft by the Chicago Bulls but started his career in Spain during the 1983–84 season where he earned the nickname "Asesino" ("assassin" in Spanish) because of his rough play.

Aleksinas signed with the Golden State Warriors of the National Basketball Association (NBA) and played for them during the 1984–85 season.

[2] It is the second highest scoring total of all time in the Berkshire League behind the 2,191 points set by Dave Vigeant of Litchfield High School.

[2] Aleksinas' games during his senior season were frequently attended by college coaches and he estimates that he received between 30 and 40 recruitments letters daily.

[7] Aleksinas started his career with Estudiantes de Madrid during the 1983–84 season where he played alongside Terry Stotts.

[9] The crowd started chanting "asesino" which Aleksinas mistook as his own name until he was informed by a teammate that they were calling him the Spanish word for assassin.

[9] On September 21, 1984, Aleksinas signed with the Golden State Warriors of the National Basketball Association (NBA).