Miguel Herrera has decided to leave Javier Hernandez out of his Mexico squad so that he can sort out his future.
Sky Sports understands that Dinamo Zagreb striker Duje Cop is attracting interest from clubs across Europe.
Forest Chairman Omar Al Hasawi told the club's website: "Greg is another important component in the squad that Sean is assembling and we're delighted he chose to join us."
Halford, who can operate at the right and centre of defence, as well as in midfield or as a striker, made his name at Colchester before making moves to Premier League sides Reading and Sunderland.
He later had loan spells at Charlton and Sheffield United before joining Wolves in 2009, and eventually made his move to Fratton Park permanent after a successful loan spell.