Johan Persson and Martin Schibbye were imbedded with the Ogaden National Liberation Front, or ONLF, a separatist rebel group who is fighting with the Ethiopian government for independence.
Swedish Radio News reports that Sweden's ambassador in Ethiopia met with the wounded men on Monday. He said they were doing relatively well considering the circumstances.
A representative for the ONLF says the men could be at risk of torture.
Activists have long criticized the Ethiopian government for human rights abuses in the Ogaden region and have said that relief organizations have not been given access to citizens there. But accusations of violence have also been directed towards the ONLF.