A windscreen wiper device comprising an elastic, elongated carrier element, as well as an elongated wiper blade of a flexible material, which can be placed in abutment with a windscreen to be wiped, which wiper blade includes opposing longitudinal grooves on its longitudinal sides, in which grooves spaced-apart longitudinal strips of the carrier element are disposed, wherein neighboring ends of the longitudinal strips are interconnected by a respective connecting piece, which windscreen wiper device comprises a connecting device for an oscillating wiper arm, with the special feature that an end wall of at least one connecting piece comprises an opening, wherein a part of the wiper blade permanently extends through the opening and beyond the connecting piece, and wherein the part of the wiper blade is reinforced.