This comes as the euro fell to$1.2765 in Asia overnight - its lowest point since September 2010.
A summit of all 27 EU leaders is scheduled to take place later this month. Mr Monti also intends to hold discussions with German Chancellor Angela Merkel and British Prime Minister David Cameron in advance of the meeting.
In the run-up to meeting President Sarkozy and French PM Fillon later today, Mr Monti told journalists that Europe had no need to fear his country anymore, due to the tough austerity measures being implemented by his technocrat government.
But the interest rate being charged by investors to buy Italian 10-year government bonds stood at more than 7% yesterday - a level deemed by most economists to be an unsustainable.
As rebuilding market confidence in Italy's battered public finances will be a tough and long job, it is expected that Mr Monti will be lobbying President Sarkozy for the EU's bail-out fund to be increased in size, so that it could reassure investors in the short-term.
With the euro hitting a 16-month low against the dollar yesterday, and Italy and Spain coming under intense pressure on the bond markets, there will continue to be intense pressure on all EU leaders as they prepare for their emergency summit later this month.