And the Portuguese newspaper claims Vieira may leave his current employers to pursue his first experience abroad.
Of course, Nottingham Forest's managerial position is not presently vacant - although Martin O'Neill's position has been called into question by large sections of the Reds' support.
O'Neill has won less than half of his 19 games in charge of Forest, with whom he won the European Cup as a player.
And it would be little shock to see the Ulsterman depart the City Ground this summer.
Vieira has led Moreirense to fifth in the Portuguese top flight in what is his first season in charge.
And the 43-year-old's arrival at Nottingham Forest would again surprise few, given the Midlands club's growing Portuguese influence.
Forest's 2018/19 squad contained Tobias Figueiredo, Joao Carvalho and Diogo Goncalves from the Iberian nation.
Would Vieira be a good appointment for Nottingham Forest?
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