Wounded Ireland suffered their first home defeat to France for a decade on the back of their loss to Wales in Cardiff.
Andy Farrell said Ireland are "hurting" physically and mentally after they suffered a 15-13 Six Nations defeat to France at the Aviva Stadium on Sunday.
Les Bleus ended a 10-year wait for a win in Dublin, digging deep to make it two wins out of two and consign the men in green to back-to-back defeats at the start of a Six Nations campaign for the first time.
France were clinical and defended brilliantly, with Charles Ollivon scoring a classy first-half try against the run of play and Damian Penaud crossing after the break.
Ronan Kelleher's first Test try after 57 minutes left a gripping battle in the balance and Ross Byrne's mammoth long-range penalty set up a tense finale, but France held on to leave Ireland's title hopes all-but over.
Ireland were already without Johnny Sexton, Conor Murray and James Ryan due to injury and their luck at the start of the tournament was summed up when Iain Henderson and Cian Healy had to go off with blood streaming from their heads after a collision.
Both players were able to return but they were unable to prevent another defeat in a game of fine margins, with James Lowe's first-half try ruled out by the TMO as his foot made contact with the touchline.
Ireland head coach Farrell said: "I thought we managed the game really well in the first half – even though the rain stopped it was still very wet, and obviously the French like to come with a lot of line speed.
"They defended really well in those last two minutes there. I thought the plan was going according to plan and we were doing very well set-piece wise, and our game management was very good. I thought we just lost our way a little bit in the third quarter there, and that got them back into the game.
"I suppose, really, when you look at it, if you give them set-pieces in your own half, they get over the gain line first phase, come round the corner second phase and get into their offloading game, then they're free-flowing. Some of that was a little bit soft from us.
"A lot of lads that are hurting in there – physically hurting as well as mentally. Because they put their bodies on the line for their country. The effort's not the problem at all, but it still hurts to lose this game."