Portuguese football website Ojogo reports that Cardiff are set to fight it out with La Liga side Elche for the highly-rated striker.
Vieira scored eight goals in 13 starts on loan at his hometown club Gil Vicente earlier this year.
Reports claim Braga are ready to let Vieira on loan or on a permanent deal.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?