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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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.