Frolova won a bronze medal in the all-around at the 1981 Ennia Gold Cup behind Emilia Eberle and Eva Marečková.[2] She then won another all-around bronze medal at the Moscow News behind teammates Alla Misnik and Natalia Ilienko.[3] She placed 13th in the all-around at the USSR Championships but won a silver medal on the uneven bars.[4] She then won the silver medal in the all-around at the USSR Cup, behind Misnik, and she won the vault title.[5] She was an alternate for the 1981 World Championships team.[6]
Frolova finished sixth in the all-around at the 1982 American Cup.[7] She was scheduled to compete at the 1982 Daily Mirror International in Wembley Arena and was favored to win,[8] but she withdrew from the competition after a knee injury in training.[9][10] She did not compete for the rest of the year.[11]
Frolova won the all-around title at the 1983 Riga International and also won a gold medal on the floor exercise, a silver medal on the uneven bars, and bronze medals on the vault and balance beam.[12] She then helped the Soviet Union win a 1983 dual meet against the United States, and she won the floor exercise title.[13] She finished 15th in the all-around at the 1983 USSR Championships but won bronze medals on the vault and floor exercise.[14] She then placed sixth in the all-around at the USSR Cup and won the gold medal on the floor exercise.[15] She won a gold medal 1983 World Championships with the Soviet team of Olga Bicherova, Olga Mostepanova, Natalia Ilienko, Albina Shishova, and Natalia Yurchenko. Individually, she placed fifth in the all-around final.[16] She also finished fourth on the uneven bars and fifth on the balance beam.[17]
Frolova tied with Zhou Ping for the silver medal in the all-around at the 1984 Beijing International.[18] She then won the all-around title at the Riga International for the second year in a row. She also won the uneven bars title and tied with Daniela Silivaș for the floor exercise title.[19] She won the silver medal in the all-around at the USSR Cup behind Olga Mostepanova.[20] Frolova competed at the 1984 Friendship Games, which were held in place of the 1984 Summer Olympics due to the Soviet-led boycott. The team of Frolova, Irina Baraksanova, Ilienko, Mostepanova, Yelena Shushunova, and Yurchenko won the gold medal.[21]
Frolova competed with the Soviet team that won the gold medal at the 1985 World University Games, and she won a bronze medal in the all-around behind teammate Natalia Yurchenko and Romanian Ecaterina Szabo.[22] She placed seventh on the uneven bars and sixth on the balance beam.[23] This was the final year of her competitive career.[6][11]