Spurs sacked Jose Mourinho on 19 April but have endured a chaotic search for a replacement.
Talks with ex-Roma boss Paulo Fonseca ended last week and Gennaro Gattuso also went out of consideration amid a fan protest.
Nuno, 47, left Wolves in May after four years. He won the Championship title in his first season, and Wolves finished seventh in the Premier League in the following two seasons before finishing 13th last season.
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