Brachos 28b Shmuel Hakattan coined the Bracha of V'Lamalshinim.
Brachos 10a mentions a story where Rabbi Meir was being bothered by people and prayed for their demise. His wife Bruria tells him do not pray for them to die, pray that they should repent. He followed his wifes advise and they repented.
Why do we pray in V'Lamalshinim that these people should have no hope (Al Tehi Tsikva), they should be lost (K'Rega Tovaid), they should be cut off quickly (Mehaira Yikoraisu), etc. Why do we not Daven for them to repent?