Dombrowski played four years of college soccer for the Milwaukee Panthers of the University of Wisconsin-Milwaukee from 2000-2003, during which he was named first team All-Horizon League three times. He was named an honorable mention All-American following his senior season in 2003. Dombrowski scored 16 goals and 13 assists in his time at Milwaukee, and helped them advance to the second round of the NCAA Tournament his sophomore, junior, and senior years. In 2002, he played for the Des Moines Menace in the Premier Development League. In 2003, he played for the Chicago Fire Reserves.
After graduating from Milwaukee, Dombrowski was drafted 50th overall in the 2004 MLS SuperDraft by the San Jose Earthquakes, and signed to a developmental contract. Along with the rest of his Earthquakes teammates, he moved to Houston for the 2006 season, but was signed by Swedish then Division 1 (effectively the third division) side IK Sirius FK in April 2006, having impressed the coaching staff at Studenternas IP during his trial in February and March. In July 2007, Tighe helped Sirius save three points by scoring two goals in the last minutes of the game against Jönköpings Södra IF, turning the game from 0-1 to 2-1 in the span of six minutes.