The 26-year-old, who joined Paris Saint-Germain at the beginning of this season, is reportedly unhappy with life in the French capital and there is speculation he wants a return to LaLiga. After PSG's exit from UEFA Champions League in Round of 16, Neymar is making headlines over a possible move away to either back to FC Barcelona or their worst enemy and La Liga holders Real Madrid.
Joining PSG had appeared to be a method by which the Brazilian could shine a little brighter than he had at Barcelona under the influence of Lionel Messi.
"It would be great if he came back and of course we would open the door to that".
Barca coach Ernesto Valverde called the rumours "fantasy" on Friday but Rakitic was more welcoming to the idea of the Brazil worldwide coming back to the club.
Real Madrid will allegedly make a big-money move for the forward in the future, but Rakitic has said that he is keen to see Neymar spend a second spell at Camp Nou.
Spanish newspaper ABC suggested Neymar may have played his last game for PSG already (h/t Sport). "I would always put Ney on my team", he added.
In a poll on Mundo Deportivo's website, Barcelona fans made their feelings clear with 69% of 5,000 voters saying they would not bring him back to Catalonia, compared to 31% of readers who would.
In addition to checking on his physical condition, Al-Khelaifi and Henrique want to find out if the Brazilian really intends to see out the contract he signed with PSG - which runs until 2022.