The ex-Maritzburg United man, who has also attracted interest from Platinum Stars, is back at Sundowns after his loan deal expired at Celtic at the end of last season.
Downs spokesman Kabelo Mosito confirmed Nyatama is training again at Choorkop.
"All the players that were on loan are back," says Mosito.
"They are Sundowns players. The coach has not yet indicated about any player leaving the club."
Siwelele CEO Khumbulani Konco confirmed his club's desire to secure Nyatama's services.
"We are waiting for Sundowns," says Konco.