Portugal are expected to hand Queiroz a winning start when they play minnows, the Faroe Islands, in Aveiro while Finland have a tougher encounter at home to Israel in Tampere.
Both games are warm-ups for next month’s start of the European qualification campaign for the 2010 World Cup finals next month.
Queiroz was coach of Portugal from 1991 to 1993, quitting after a 1-0 loss to Italy in Milan which cost the country a place at the 1994 World Cup finals in the USA.
His first spell in charge of Portugal lasted 23 games, with 10 wins, eight draws and five losses.
He has made few changes to the squad that Luiz Felipe Scolari took to the quarter-finals of EURO-2008 in June.
Queiroz, Bafana Bafana’s coach from 2000 to 2002, was fired after a quarter-final finish at the African Nations Cup finals in Mali.
Baxter, who quit as South Africa coach at the end of 2005, was named Finland’s new coach earlier this year, replacing another Englishman Roy Hodgson, who also has close South African ties.