Admir Mehmedi played the hero for Switzerland has he grabbed the equaliser and a crucial one point, with the Swiss on the brink of qualification for the last 16.
The Swiss could have earned qualification, had they won against Romania, but Stancu sent in a penalty in the first half.
Mehmedi grabbed the equaliser in the second half, preventing Romania from recording just their second win at a European Championship.
Switzerland looked the more likely to win it from there, but failed to make their pressure count and will conclude their group campaign against hosts France.
Romania, meanwhile, will surely need a win in their match against underdogs Albania if they are to extend their tournament.