On March 22, 2012, Kulig moved from Poznań to sign with the Polish team Turów Zgorzelec until the end of the 2011–12 season.[1] In May 2012, the club extended contract with him for one more season.[2]
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.[3] 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.[4]
Kulig signed with Twarde Pierniki Toruń on January 15, 2019.[6] 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.[7]
Kulig represented Poland at the EuroBasket 2015. Over six tournament games, he averaged 6.7 points and 5.7 rebounds on 45.2 shooting from the field.[9]