In a statement, the capital club confirmed a meeting had taken place, at Barca's behest, on Thursday to discuss a deal to sign World Cup victor Griezmann, who has a release clause of €120 million (RM496 million) in his contract.
"Paris St-Germain notes that Neymar Jr was not in attendance at the agreed time and place".
Although Josep Maria Bartomeu recognised that signing Neymar would be very hard with PSG unwilling to let him go, the Barcelona president did admit that the Brazilian was interested in coming back to Catalonia.
Neymar left Barcelona for PSG in a world-record €222-million transfer two summers ago.
The report adds that PSG are normally tough when negotiating for players who want to leave the club, so his request doesn't make his departure any easier. "And PSG are aware and are part of the institute's actions".
'This Monday, July 8, Neymar da Silva Santos Junior was summoned for the resumption of activities of the professional group of Paris Saint-Germain.
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However, the Atletico source said their side were holding firm and not planning on entering into any negotiations with Barcelona over payment terms.
The Frenchman was due to join the rest of his teammates at Atleti's training ground this weekend for the first day back since their summer break. He had formed a brilliant attacking trio alongside Lionel Messi and Luis Suarez.
Barcelona also introduced Frenkie de Jong, the 22-year-old midfielder who was signed from Ajax earlier this year for 75 million euros ($84 million).
Paris Saint-Germain president Nasser Al-Khelaifi has warned Neymar and his other highly-paid stars that they must shape up or ship out, claiming "celebrity behaviour" at the French champions will not be tolerated.
Neymar missed the Copa America tournament - which Brazil won by beating Peru 3-1 in Sunday's final - due to an ankle injury sustained in a friendly against Qatar last month.