In the following years, Vlašić became the leading Yugoslav decathlete, winning five consecutive national championships, from 1979 to 1983. He won two decathlon medals in consecutive Mediterranean Games: bronze in 1979, and gold in 1983. His first child, Blanka Vlašić (born 1983), was named after Casablanca, the host city of the 1983 Games. Vlašić also competed in the 1983 World Championships, placing 16th.