The team of 30 medical personnel from Albania will volunteer in the health institutions in the Italian town of Bergamo.
"Thanks to the Albanian government for this act of solidarity and affection," Italian embassy in Tirana said in a tweet.
Albania confirmed 11 new cases of coronavirus in the last 24 hours - the smallest increase in diagnoses since March 21.
Greece has decided to close its borders with Albania and North Macedonia, with some exceptions, stop flights to and from Spain and end passenger ship service to Italy.
Also, cruise ships will no longer be allowed at Greek ports.
Greek citizens, as well as permanent residence of Greece, will still be allowed to cross from Albania and North Macedonia.
Albanian mobile phone users have unexpectedly received a recorded message from the Prime Minister, advising them on how to protect themselves from the coronavirus - and the media.
"Wash your hands, don't move from your house for pleasure, open windows as much as you can, protect yourself from the media," the message from Edi Rama said.
Following a visit to the Krusik defense industry plant in Valjevo, Vucic said that there was "no doubt" that in some EU countries there are "certain sympathies" for Kosovo's Prime Minister, Albin Kurti.
"There was sympathy for Kurti in a part of Serbian public until he started talking about Greater Albania," Vucic said.