Billionaire owner Nasser Al-Khelafi, who is also chairman of Qatar Sports Investment, has expressed his desire to bring a number of high-profile stars to the French capital.
As PSG look to re-establish themselves as a European force, Al-Khelafi has outlined the club's plans to sign Suarez and Real Madrid forward Gonzalo Higuain.
The Uruguayan striker has made a huge impact since arriving at Anfield, netting 10 goals in 34 Liverpool appearances, but has also commanded a number of negative headlines which culminated in an eight match ban after being found guilty of racially abusing Patrice Evra.
However, in an interview with French magazine ExtraTime, Al-Khelafi said: "We are already looking at the market for next season. We have clear targets in mind.
"It is true that we want Luis Suarez and Gonzalo Higuain. [But] our real short-term targets are to win the Champions League and find a new Messi."
Liverpool will want to keep hold of Suarez, but the South American may be tempted to make a fresh start after the recent hounding he has received in the English press.