The AC Milan forward missed Italy's international friendly against Argentina with a persistent knee problem but is expected to be available for the trip to the Philips Arena
The Italy international was forced to skip his country's 2-1 friendly defeat by Argentina in Rome on Wednesday night because of a troublesome knee injury but the Rossoneri supremo expects him to be ready for Tuesday's game.
"Mario should make it for PSV," Galliani told Sky Sport Italia. "The knee is going well.
"I also heard from [Milan coach Massimiliano] Allegri, who told me that he should be there.
"Physically and psychologically, Milan are fine. I saw the team play in Germany and USA and they seemed to me in good condition, so we'll see."
Meanwhile, Galliani confirmed that there had been no movement in relation to the club's attempt to bring forward the arrival of CSKA attacking midfielder Keisuke Honda, who has agreed to join Milan on loan in January.
"The situation is very clear," he stated. "CSKA Moscow is the rightful owner of his card, so, if they want to give him to us, we will take him in August.
"If they don't give him to us, he will come in January on a free transfer.
"The market closes on September 2. It's clear that, as time goes by, the deal becomes less and less interesting for us but you never know; this is football, after all."