Meanwhile, Dunga has escaped punishment for the comments he made to journalists following last Sunday's game in Johannesburg.
"Without doubt I would pay (to see Brazil), " replied Dunga at a news conference on Thursday.
They parted company with coach Dunga after losing to the Netherlands in the quarter-finals.
Santana was the coach of Brazilian league side Vasco when Dunga was a midfielder there.
Dunga became manager of Brazil when Carlos Alberto Parreira left the post in 2006.
Dunga, despite the more responsible approach of both sides, is still predicting an entertaining encounter on Friday.
Dunga saw his men suffer a 2-1 quarter-final defeat at the hands of the Netherlands in Port Elizabeth.
Power's camp were undone by former Brazil captain Carlos Dunga unexpectedly flying in from Japan to vote with Paladini.
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But coach Dunga has resisted pressure from the fans and local media in Brazil to recall the ex-Barcelona forward.
Dunga was sacked after Brazil were sent crashing out of the quarterfinals of the World Cup by the Netherlands.
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Much of it has to do with coach Dunga's new approach towards journalists.
Or will Brazil build on Dunga's new way, but seeking more of a middle ground between hard work and flair?
Real Madrid forward Kaka was suspended and midfielder Elano missing through injury, but Dunga said their absence did not hinder his side.
Dunga represents one of the Monaco groups but little has been heard of him since he was made a director last summer.
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To my surprise Dunga made this very point in the press conference.
"We knew when I started that I would be here for four years, " said Dunga, who took over as Brazil boss in 2006.
Parreira achieved an admirable balance between attack and defence because the back line were so well protected by the central midfielders Dunga and Mauro Silva.
Dunga describes Santana as "one of the great Brazilian football coaches".
They all placed two "guard dogs" to scare off the opposing strikers, but very few had the ability on the ball of Dunga and Mauro Silva.
Hence the attempt to replace him with Luiz Felipe Scolari, and when that fell through, the appointment of 1994 captain Dunga, symbols of a more emotional, passionate approach.
Elano's availability will be a big boost for coach Dunga as he is without without midfielder Kaka, who is suspended for one match following his controversial sending off against Ivory Coast.
In Dunga's first meeting with journalists after arriving in South Africa, press officer Rodrigo Paiva made an appeal for journalists to avoid a "Big Brother" approach towards the team.
Dunga has already won the first battle against his former boss - Brazil will wear their iconic yellow shirts, with South Africa having to switch to a green kit.
The Brazilian press is used to having almost total access to managers and stars of the team - but Dunga, a fierce critic of the media, has made radical changes.
It is worth recalling that Dunga played against - and lost to - the England side of 1990, who went on to reach the semi finals of that year's World Cup.
But Dunga, who has been heavily criticised by much of the nation's media for not paying heed to Brazil's traditionally vibrant attacking style of play, insisted his team possessed the greater ambition.
The goal composed Dunga's previously erratic side and they doubled the lead with 18 minutes left when Robinho slid a fabulous pass in for Elano to slot home from inside the area.
Goals from Felipe Melo, Robinho and Maicon secured the three points for Dunga's side -- who will definitely reach the semifinals should they draw with Italy in their final Group B encounter.
"We knew it was going to be a very delicate, very difficult game, but we weren't able to maintain the rhythm we had in the first half in the second half, " reflected Dunga.
Brazil boss Dunga has been heavily criticised back home for constructing a team that values efficiency ahead of flair, but his side controlled the vast majority of the match and were comfortable winners.
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