The Brazilian forward, who joined the Parc de Princes outfit in a staggering €222 million world record fee is reportedly angling for a move away from the French giants.
With exit rumours generating grounds, the French Ligue 1 side have set a price tag of €300 million if they are to part ways with the Brazilian, a strong and clear notice to any potential suitors.
In a way, it also seems they are not willing to let go of the player with regards to the huge price set on him as no club in the sport will cough out such an amount for his services.
When quizzed if the former Santos winger will join Barcelona, Valverde insisted he is unsure if the former Barcelona playmaker will arrive this summer.
“We'll see what happens. The classic response is that he plays for another team and that's that," he told a news conference.
"All I know is that I'm the manager and I only think about the players I have. They are the ones I'll be using tomorrow.
"As it stands, I don't know what is going to happen."
Neymar netted 15 goals in seventeen Ligue 1 games aside his 5 goals in six Champions League appearances in the 2018/19 season.
Ernesto Valverde’s Barcelona are currently enjoying an impressive pre-season campaign as they are expected to play Athletic Bilbao on August 16 as their 2019/20 LaLiga opener at Sam Mames.