"Sergio is in good hands, fighting to recover,” the Paris Saint-Germain’s official statement said.
The player's representatives said in a statement that the accident happened near the southern Spanish city of Seville, where Rico used to play for Sevilla.
"Sergio is in good hands, fighting to recover,” the statement said, adding that the next 48 hours will be important to determine the progress of his recovery.
The statement said Rico had just arrived from France and was headed to a mass with his relatives when the accident happened.
Earlier media reports said Rico was horse-riding at the time of the accident.
French champion PSG said it "remains in constant contact with his loved ones.” PSG won the French league on Saturday.
Several clubs and players sent messages of support for the 29-year-old Spanish keeper.
Messi's opener was cancelled out by a Kevin Gameiro equaliser, but the result gave PSG an unassailable four-point lead over second-placed Lens with one match of the season remaining.
With PSG out of the Champions League and only four Ligue 1 matches remaining as they target a record 11th title, this is likely to be Messi's penultimate appearance at the Parc des Princes.
Cesc Fabregas netted a late winner as Monaco rallied to end Paris Saint-Germain's nine-win run with a 3-2 victory on Friday. Kylian Mbappe had found the back of the to put PSG ahead in the first-half. With the brace his tally surged to 99 for PSG.
Taking place at Kalba Beach, the showjumping championship, is organised by the Sharjah Equestrian and Racing Club as part of the fifth edition of the Sharjah Kalba Festival for Equestrian Sports.
The experienced pairings of Faleh Al Mansoori with Shaun Torrente in Abu Dhabi 4 and Rashed Al Tayer alongside Majed Al Mansoori in Abu Dhabi 5 expect a highly competitive opening round, which is part of the Khor Fakkan Marine Festival.
SailGP will highlight its ongoing commitment and passion to climate action with the first of many Race For The Future takeovers at the Emirates Dubai Sail Grand Prix presented by P&O Marinas, taking place on Dec.9-10.
Two more seeds rolled out while another two advanced to the quarter-finals as the 26th Al Habtoor Tennis Challenge (AHTC) entered its business end at the Habtoor Grand Resort, on Wednesday. Fifth seed Maria Timofeeva – who had lost in the second round, last year as well – went down 7-6 (10),