Edwards took bronze in a highly-competitive M50 400m hurdles final in Tampere.
The Plymouth athlete clocked 59.34 seconds, which was his fastest time since 2017, but he was just edged out for the title by Sweden’s Mattias Sunneborn and Italy’s Sante Galassi.
Edwards has competed at the World Masters Championship before but former BUCS champion Wilsmore was making his international debut at veteran level.
Wilsmore claimed bronze in a tactical M35 1,500m where the top three pulled away with 800m to go and had a real battle for the medals.
Wilsmore, despite clocking 1:57 for the final 800m, had to settle for third behind fellow GB athlete David Proctor and American Mark Husted.
Proctor won in 3:52.31, with Husted clocking 3:52.55 and Wilsmore 3:53.31. The trio were five seconds ahead of the rest of the field.