Josep Maria Bartomeu and Jorge Messi met on Wednesday as Lionel Messi continues to seek his exit from Barcelona, but talks ended in a stalemate.
Barcelona reiterated that Messi is not for sale while his father reaffirmed the wish to leave.
Bartomeu stood by the line that Messi remains under contract until 2021 and any team wishing to sign him must pay his €700 million release clause.
Messi's camp believes he can exit for free based on a clause in his contract that allows him to leave at the end of each season.
There were some moments of tension during the meeting.
Speaking to Deportes Cuatro, he said it's "difficult" to imagine Messi staying at Camp Nou.