On March 22, 2012, Kulig moved from
Poznań to sign with the Polish team
Turów Zgorzelec until the end of the 2011–12 season. In May 2012, the club extended contract with him for one more season. In the 2014–15 season, Kulig played in the
EuroLeague for the first time in his career. Over 10 games, he led his team with 15.2 points, also having 5.5 rebounds and 1.5 assists per game. However, Turów Zgorzelec was eliminated in the first phase of the competition, being last in the
Group C with a 1–9 score. On April 29, 2015, Kulig won the
PLK Most Valuable Player Award. Turów Zgorzelec finished the season in 2nd place of the
Polish League, after a 4–2 loss to
Zielona Góra in the final series. On June 11, 2015, he signed a contract with the Turkish team
Trabzonspor. On July 8, 2016, he signed with
Banvit. Kulig signed with
Twarde Pierniki Toruń on January 15, 2019. He averaged 10.1 points and 6 rebounds per game. Kulig re-signed with the team to a two-year extension on July 15, 2020. On June 5, 2021, he signed with
Stal Ostrów Wielkopolski of the
Polish Basketball League (PLK). On July 11, 2025, he signed with
Twarde Pierniki Toruń of the
Polish Basketball League (PLK). ==International career==