The 22-year-old, who currently plays for Swedish side Djurgardens, joined compatriots Benni McCarthy and Aaron Mokoena at the Ewood Park club on Monday, but not for official trials.
Still, should he impress boss Mark Hughes this week then he may win a dream move to the Premiership.
"It has gone well," he tells snl24.com/kickoff. "I am staying with Benni [McCarthy], so he has been making me feel at home. The weather has been pretty bad though!"
Davids was recently named part of Carlos Alberto Parreira's squad that will go to the African Nations Cup finals in Ghana starting on January 20, and is seen as a good prospect for the 2010 World Cup at either rightback or in the holding midfield role.