Coloccini has told the club that he would like to leave St James' Park during the current transfer window to return to his native Argentina due to personal reasons.
United boss Alan Pardew has said he is still hopeful of persuading the 30-year-old to stay on Tyneside but Osvaldo Coloccini, who is a director of youth football at San Lorenzo, has told a local radio station that his son is still keen to seal a move to the Argentinian side.
"There was an inconclusive meeting today," Coloccini Snr told Rock and Closs on Monday. "Tomorrow there will be a decision. We both desire the transfer.
"Fabricio is very anxious. He wants a decision to be made one way or another. I believe this is the moment to move.
"Newcastle have asked him to wait until May. The issue is if San Lorenzo will wait until that date.
"It would be beautiful if both of us were at San Lorenzo, the club we love. Fabricio is eager to return but he wants to do so in an elegant way."