The 32-year-old is without a club following his release from Manchester United and has insisted that he wants to stay in the Premier League.
Owen has been tweeting regularly during recent weeks but has refused to disclose his possible destinations.
"Obviously can't tell you who I'm in talks with yet. I have an idea where I will go but you never know who else could enter the fray!" he wrote yesterday evening.
Martin O'Neill has already brought in Steven Fletcher and Louis Saha to bolster the Black Cats' frontline.