"We were just sitting around the fire and one of the boys threw a bit of petrol over the fire and then it caught his hand and he just tried to put it down on the floor and then the whole thing caught alight and exploded," De Allende said.
"We went into hospital on Saturday night but when we saw the specialist on Sunday he said it wasn't as bad as they got told.
"We should be okay in a few weeks hopefully."
The two South Africans received burns to their legs, hands and face. Munster coach Johann van Graan said everyone was "hugely relieved that the lads are all okay".
SARugbyMag reported "both are still expected to link up with the Springbok squad".
Snyman was already sidelined, recovering from a knee injury.
The four test series against the Lions begins in Cape Town on July 14.
Springboks coach Jacques Nienaber is already sweating on the fitness of outstanding No 8 Duane Vermeulen, who is believed to have undergone ankle surgery.