The loss continued head coach Warren Gatland's woeful record against South Africa, New Zealand and Australia against who he has won just once in 24 attempts.
But, despite the unwanted record, Biggar believes his side are more than capable of picking up a win in Saturday's second Test in Nelspruit.
"It's pretty tough playing those sides, they are outstanding teams and they give you very little to feed off," said the 24-year-old.
"I do not think it is a mental issue in terms of crossing the line and beating these teams, but the more often we go without winning the more of an issue it becomes.
"Once we do it, it will give us that belief and be a turning point for us in beating them game in game out.
"It is tough but we have got to keep going. We have to make sure we instill belief in ourselves and try and ruffle a few feathers."
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