He has received many awards through his career, including the Cuban Radio and Television Praiseworthy Artist.
In 1966, Humberto Solás, who had had success with Manuela, was looking for actors to film Lucía, and he selected Blaín to become part of the cast.
He took part on the cast of the Cuban Television, although he has stated that he prefers doing films because that has paved him the way.
On stage he met his colleagues and friends Enrique Molina and Enrique Almirante, who share stage in several times.
As for 2013, Blaín takes part in Cuban television series S.O.S Academia (S.O.S Academy).