Sometimes more often. They've only gone a little quiet of late with the attacking midfielder's form dipping following a winter layoff, an ankle injury the player has since struggled to fully recover from.
Barca legend Carles Puyol is now representing the veteran midfielder, and although he has been limited this season with just eight league starts to his name, it's hard to see him anywhere other than Barcelona having had such an illustrious career at Nou Camp thus far.
Today's edition of Mundo Deportivo claims Barcelona are considering signing two players to replace Iniesta: Marco Verratti and Philippe Coutinho.
He told Movistar: "We want Iniesta to continue with us for many years to come".
The star duo tops Barcelona shortlist although the blaugrana won't be able to sign them both as the price-tags of both the Italy and Brazil International are astronomic.
Barcelona ace Andres Iniesta has reportedly rejected an offer from China worth £600,000-a-week despite ongoing problems with his Barca contract renewal.
Bakayako also prefers a move to the champions-elect amidst interest from Arsenal and Manchester United as Chelsea see him as a long-term midfield partner for Ngolo Kante.