The Super Rugby side, Cheetahs, who are based in Bloemfontein have been approached by the Pro 12 according to BBC Scotland with a view to joining the league.
Two South African franchises will be cut from Super Rugby from 2018, amid a downsizing of the competition.
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Cheetahs and the Port Elizabeth-based Kings are widely expected to lose their Super Rugby status.
This speculation is thought to have prompted an invitation from the Pro12 – the league has explored options for expansion in North America and other parts of Europe, as it aims to generate more revenue and tap into new markets.