PSG star Mbappe scored as the visitors salvaged a dramatic 2-2 draw away to Madrid in the Champions League on Tuesday.
Madrid head coach Zinedine Zidane reaffirmed his admiration for Mbappe on the eve of the Group A blockbuster, saying: "I am already in love with him".
Mbappe made an impact against his reported suitors at the Santiago Bernabeu, where PSG sealed top spot ahead of LaLiga giants Madrid.
Asked about Mbappe's future, Leonardo told RMC: "Mbappe will stay here, 100 per cent. He is a PSG player. The rest is the rest."
"We will see. We are advancing, advancing slowly but we are advancing," Leonardo added when asked about a contract extension.
France international Mbappe dazzled last season with 39 goals in all competitions as PSG won the Ligue 1 title.
This term, World Cup winner Mbappe has 10 goals across all competitions – including five in Ligue 1 for Thomas Tuchel's side.