Both Robbie Henshaw and Daren Cave were not considered due to picking up concussions while playing for their provinces over the weekend.
There are three out-halves included with recent debutant Paddy Jackson and the uncapped Ian Madigan joining Jonathan Sexton in the training panel.
The other uncapped players involved are Leinster duo David Kearney and Eoin O'Malley, Ulster's Robbie Diack and Tommy O'Donnell of Munster, with Diack's provincial colleagues, Dan Tuohy and Andrew Trimble, also drafted in.
A full medical update will take place tomorrow at the Ireland team media session at 1pm, but none of the 32 members of the squad have been ruled out of contention for selection against France.
IRELAND Training Squad (v France, 2013 RBS 6 Nations Championship):
Club/Province/International Caps -
Rory Best (Banbridge/Ulster/65)
Sean Cronin (St. Mary's College/Leinster/24)
Robbie Diack (Malone/Ulster) *
Keith Earls (Young Munster/Munster/37)
Luke Fitzgerald (Blackrock College/Leinster/24)
Declan Fitzpatrick (Dungannon/Ulster/4)
Craig Gilroy (Dungannon/Ulster/4)
Cian Healy (Clontarf/Leinster/37)
Jamie Heaslip (Dublin University/Leinster/55) (capt)
Iain Henderson (Ballynahinch/Ulster/3)
* Denotes uncapped player