The second round of the tournament, that kicked off in Paris last weekend, featured the pair in winning efforts against the likes of Fiji and Scotland.
Reffell came off the bench to play half an hour in last weekend's crunch clash against the Flying Fijians and this Saturday will see Reffell start for Wales in their match against Portugal, who will open their second-ever World Cup campaign.
Wiese, conversely, started last Sunday's match for South Africa as his side recorded an 18-3 win over Scotland, with the No. 8 in typically abrasive form.
Wiese will start on the bench this weekend as the Springboks are set to take on Romania, as they look to continue their defence of the Webb Ellis cup.