Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Kuala Lumpur to Pisa as you normally would.
For a flight from Kuala Lumpur to Pisa, you will be flying into Gal Galilei. Pisa Gal Galilei (PSA) is just 4.4 km from the centre vof the city. Gal Galilei is the only Pisa airport and it handles 0 inbound flights from Kuala Lumpur per day. 2 airlines have flights to Pisa Gal Galilei from Kuala Lumpur on a regular basis.
Due to the rapidly changing circumstances due to COVID-19, airlines like Turkish Airlines and Qatar Airways flying from Kuala Lumpur to Pisa Gal Galilei have implemented new flexible cancellation policies.