Reports had suggested the Royal Blues were set to make the Brazil international their first signing of the summer, but Heldt says there is no truth to the rumours.
"I usually don't do this, but this time there is such a completely false representation of our transfer policy in public," Heldt told his club's website.
"Dani Alves is a world-class footballer, there is no doubt about that.
"But we have not considered this player, not even theoretically.
"These reports are just total nonsense.
"We have never made an offer to his club, nor have we had any contact with the player or his agent in any form, and he has not been offered to us either."