Loose forward Brown, experienced prop Euan Murray and debutant hooker Pat McArthur were forced out of the 27-17 loss to the Pacific islanders and are doubtful for the rest of the trip, interim coach Scott Johnson said.
Brown suffered an ankle injury, Murray a possible hamstring tear and McArthur a knee problem after a ferocious hit early in the game by Samoa's two try hero Alesana Tuilagi.
"They could leave the tour," Johnson told reporters. "We will have to probably bring in some replacements. There are a lot of battered and bruised bodies after the game."
MacArthur's debut did not last beyond the opening exchanges and he had to be replaced by another debutant, Stevie Lawrie. Brown did not come out for the second half and Murray went off after the interval.
A final decision on the continued participation of the trio will be made on Sunday, Scottish officials added.
Scotland next play South Africa in Nelspruit on Saturday and depending on where they stand after two matches of the four-nation tournament, they will meet Italy, Samoa or South Africa in Pretoria on June 22.
Saturday's loss was their first in nine internationals against Samoa.
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- Euan Murray