Conesa Main Festival Activity · Conesa, Conca de Barberà, Tarragona Image of Conesa, not of the place itself. Conesa celebrates its summer fiesta mayor in honor of the Virgen de Agosto and a winter fiesta mayor on a weekend in November; since 2010 it has also hosted the Mercat Vell, an antiques market held in the first week of August. Photo: Àngela Llop (CC BY-SA 3.0) What to see and do in Conesa