The 19-year-old Ivory Coast international is attracting strong interest from both clubs, although reports suggest his preferred destination is the French champions.
PSG are expected to step up negotiations with Leipzig in the coming weeks as they pursue one or two marquee additions during the off-season transfer window.
Chairman Nasser Al-Khelaifi, sporting adviser Luis Campos and manager Luis Enrique are all overseeing the club's recruitment plans.
Liverpool have already made an attempt to sign Diomande, but an opening offer worth 69 million pounds, plus a further 17 million in add-ons, was rejected earlier this month.
Leipzig are understood to want around 129 million pounds before considering a sale. The Bundesliga side remain adamant they are under no financial pressure to part with the youngster after signing him from Leganes last off-season on a five-year deal.
"First of all, like I said, my dream is playing for my country and making history with my country," Diomande said on Tuesday.
"I don't have Instagram anymore, I don't have TikTok, so I can't see anything but I expect to leave [RB Leipzig] of course.
"I have an agent who's going to manage the rest, but for me the most important thing right now is focusing on the World Cup with my country and making history with them."
RB Leipzig winger Yan Diomande is reportedly edging closer to a major move after agreeing personal terms with Paris Saint-Germain, according to multiple transfer claims.
Liverpool are considering Paris Saint-Germain winger Bradley Barcola as a potential option after running into resistance in their pursuit of primary target Yan Diomande.
The growing connection between Jamal Musiala and Florian Wirtz has become one of Germany's most promising attacking developments at the FIFA World Cup 2026.
RB Leipzig have moved quickly to appoint Martin Demichelis as their new head coach ahead of the 2026-27 Bundesliga season, with the former Argentina international taking over from Ole Werner.
