FC Porto midfielder Souza, 22, was a key member of the Vasco da Gama side that won the Serie B title in 2009, but has struggled to make the Porto first-team on a regular basis since arriving in 2010.
Argentine attacking-midfielder Bertoglio is currently in pre-season training for Ukranian club Dynamo Kiev. With two goals in his sole international appearance for Argentina, Bertoglio also joined Dynamo in 2010 in a €4 million deal from Colón de Santa Fe.
Two more players through the door would see Grêmio up to ten summer signings, including high-profile strikers Marcelo Moreno and Kléber. Not content with that, Pelaipe also confirmed that the club are in the hunt for a defender to cover the club’s current absentees.