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Rico suffered 'a serious mishap due to a mule cart and a horse that hit him', his family said in a statement.
Midtable Reims extended its unbeaten run to 12 games, which included holding PSG to a 0-0 draw at home in October, and was the better side in the first half.
Messi looked puzzled when he was replaced with full-back Hakimi and exchanged words with Pochettino as he walked off the pitch.
All 20,545 tickets available were sold at the Auguste Delaune stadium to see 34-year-old Messi play and the fans, who chanted the Argentina forward's name, were rewarded in the 66th minute when he replaced the disappointing Neymar.
Not yet fully fit, Messi, along with Neymar and fellow new recruits Gianluigi Donnarumma and Sergio Ramos, did not make the match squad.
Villas Boas said he wanted to stay but that important structural conditions had to be met.
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