Ba may have got a rough reception from the home crowd but Pulis had no issues with the player.
"We really fancied Demba for a while but people have to remember we were paying £9million for him with his wages and everything else," he said.
"The medical people at this club are fantastic and they didn't think his knee was a risk we could take at that time.
"Taking him on a free is a different option and he has certainly done well at West Ham and at Newcastle.
"He has no problems from me."