John Gough erased a seven-shot deficit with a 64 to join Mark Power at nine under, setting up a tightly packed Sunday in Konispka.
Ryan Lumsden leads by one after a second 65 at Rosa Golf Club, with a calmer mindset proving as valuable as his improved putting.
Lumsden and Hébert lead the tournament after a fog delay.
Ryan Lumsden shines with a six-under-par 65 at blustery Royal Óbidos