The Brazilian striker, 29, is currently without a club, having left Thai side Buriram United earlier this month.
This spell with Buriram came following time in South Korea and India, having left England in the summer of 2014.
It was Forest boss Dougie Freedman who brought Mortiz to England originally, signing him for Crystal Palace in the summer of 2012 from Turkish club Mersin IY.
He scored five goals in 32 games, and Freedman then took him to Bolton the following season, where he netted seven times in 27 games. In total, Moritz has managed 12 goals and six assists in 50 Championship games over his entire career.
Now that he is out-of-contract again, Freedman wants to bring Moritz back to the Championship, signing him on a short-term deal for Forest.
Scoring goals has been a problem for Forest this term, and Moritz - who can play upfront, on the wings, or as a number 10 - will provide some added attacking threat at the City Ground.
Due to the FFP embargo, Forest are limited to signing free players or loan players, and Freedman is hoping his good relationship with Moritz will be enough to convince the Brazilian to move to the City Ground in the coming days.