Curtain wall of the modular type, constructed from prefabricated connecting wall elements mounted in rows next to and above each other, the wall elements consisting of a basic frame or so-called module of supporting mullions and transoms defining two or more open compartments (3a, 3b), wherein the mullions of the basic frames are formed from one-piece profiles with an internal chamber bounded by an outside wall and a side wall of the mullion, wherein at least one of the two or more open compartments (3a, 3b) is filled using a fixed infill element that is attached directly against the outside wall of the mullions of the basic frame, wherein at least one other of the two or more open compartments (3a, 3b) is filled using a wing with an infill element attached on a wing frame (3") that is attached in a rebate in the mullions of the basic frame, which rebate is formed by the fact that the outside wall and the side wall of the internal chamber of the mullions of the basic frame are removed locally at the level of the compartment, wherein the transoms of the basic frames are constructed in the form of one-piece profiles which, for the compartments with a wing, are equipped during their fabrication with a rebate or which are obtained from one-piece profiles with an internal chamber such as those of the mullions, whereby the outside wall and the side wall of the internal chamber are removed across the entire length of the transom (10a, 10b) forming a rebate, wherein the rebate in the corners where the ends of the transom profiles connect to the mullion profiles is sealed using an external corner piece, wherein there is no substantial visual difference between the wing frame (3") in the rebate and the side wall of the mullions when the wing is in a closed position, and wherein there is no substantial visual difference between the wing with an infill element and the fixed infill element when the wing is in a closed position. wherein the mullions of the basic frames are formed from one-piece profiles with an internal chamber bounded by an outside wall and a side wall of the mullion, wherein at least one of the two or more open compartments (3a, 3b) is filled using a fixed infill element that is attached directly against the outside wall of the mullions of the basic frame, wherein at least one other of the two or more open compartments (3a, 3b) is filled using a wing with an infill element attached on a wing frame (3") that is attached in a rebate in the mullions of the basic frame, which rebate is formed by the fact that the outside wall and the side wall of the internal chamber of the mullions of the basic frame are removed locally at the level of the compartment, wherein the transoms of the basic frames are constructed in the form of one-piece profiles which, for the compartments with a wing, are equipped during their fabrication with a rebate or which are obtained from one-piece profiles with an internal chamber such as those of the mullions, whereby the outside wall and the side wall of the internal chamber are removed across the entire length of the transom (10a, 10b) forming a rebate, wherein the rebate in the corners where the ends of the transom profiles connect to the mullion profiles is sealed using an external corner piece, wherein there is no substantial visual difference between the wing frame (3") in the rebate and the side wall of the mullions when the wing is in a closed position, and wherein there is no substantial visual difference between the wing with an infill element and the fixed infill element when the wing is in a closed position.