Siyabonga Bhembe, Njabulo 'D4D' Ndlovu, Felix Badenhorst, Banele 'Pupu' Sikhondze, Sabelo 'Sikhali' Ndzinisa and Justice Figuareido have been unable to re-enter the country.
All tested negative for Covid-19 but were refused entry to Mzansi due to missing the necessary documents authorising their travel.
The group was turned back at the border gate by South African immigration officers.
Mbombela chairman Oupa Matsebula says they are working around the clock to ensure the players will be allowed to cross over.
"Ya they've been turned pillar to post, they are sent to the embassy," Matsebula tells snl24.com/kickoff.
"Today they sent their applications. They tested negative... and they are stuck in Swaziland, for the whole week, including the coach [Bhembe] and the assistant coach. All of them can't return, I don't know what the problem is.
"It seems they need to inform the South African... it seems it's the South African side that has a problem. Ya so they need to go to the South African embassy, and I don't know to do what.
"And they tried they going through the processes but still... because it's three days now they've been sent from pillar to post. It seems these people also don't know the process, it's a finder-finder."
