In 2006, Blat joined the cast of the remake of the telenovela Sinhá Moça, as the abolitionist Mário, and also participated in two plays, Mordendo os Lábios and O Mundo é um Moinho. In 2007, he was in the TV production Amazônia, de Galvez a Chico Mendes, as the rubber tapper Xavier. He was also acting in the theater with the plays The Two Gentlemen of Verona and Chorin. In that year, he won the São Paulo Citizen of the Year Prize in the actor category, for his contribution to the city.
In 2006, Blat began dating actress Maria Ribeiro, whom he married in November 2007. Their son Bento was born in January 2010.