'Only the coward runs away in times of trouble,' the ex-Prime Minister said.
Sergio Mattarella has resisted calls for a snap election after the resignation of PM Matteo Renzi.
It looks likely many ordinary Italians will be the ones to suffer.
Renzi resigned on Wednesday after his referendum defeat.
An election in one of the EU's most Euroskeptic nations would add to fears of populist uprisings.
Prime minister may resign if Italians reject the measure to reduce the size of the Senate.
Many urge Matteo Renzi to rethink his vow to resign if a December 4 referendum on constitutional reform fails.
Locals' choice to flee central Italy after August earthquake helps limit the damage of latest tremor.
Death toll stands at 290 people with 10 still missing in Amatrice five days after an earthquake struck central Italy.
Angela Merkel, Francois Hollande and Matteo Renzi called for closer security cooperation.
Matteo Renzi will host Angela Merkel and Francois Hollande to discuss reverberations from Brexit vote.
Germany, France and Italy are set to discuss strategy for U.K.'s EU exit talks.
Insurgents' success means more worry for Europe's centrists.
Matteo Renzi's center-left government could face tough contests in four cities.
The legislation has reached a deadlock over a provision for adoption.
Rouhani is on his first European trip since economic sanctions were lifted against Iran.
Italian Prime Minister Matteo Renzi says leaders should stop "pretending not to see."
EU leaders agree to triple naval search mission in Mediterranean following drowning of 900 people in past week.
It's thought that the Italian government has lost track of 100,000 migrants since 2014.
Three other rescue operations underway on Monday as EU ministers present plan to double funding for Triton operation.
Ahead of sanctions review in June, minister says Libya must be considered as equal a threat to Ukraine.