During the 1997-98 season, Kulik won gold at the 1997 NHK Trophy and silver at the 1997 Skate Canada International to qualify for the Champion Series Final (now known as the Grand Prix Final) where he won the gold medal.

He also won the Russian national title but missed the 1998 European Championships as a result of back problems.

Kulik also ventured briefly into acting, playing the role of Sergei, a Russian dancer, in the 2000 ballet-themed movie Center Stage.

Gordeeva has another daughter, Daria Sergeevna Grinkova (born 11 September 1992), from her first marriage to her late husband and skating partner, Sergei Grinkov.

According to People magazine's 2018 Special Edition "The Best of Olympic Figure Skating", Gordeeva and Kulik divorced in 2016.