The invention relates to a lining (10) intended to be positioned inside a chamber (1) to promote contact between fluids circulating inside said chamber, said lining comprising a plurality of separate criss-crossing strips (12): —first strips (12.1i) parallel to a first direction (D1) and defining a plurality of first planes spaced apart from each other, —second strips (12.2i) parallel to a second direction (D2) forming an angle with the first direction (D1) and defining a plurality of second planes spaced apart from each other. In each first plane, a free space separates two first adjacent strips I a direction perpendicular to the first direction and receives a second strip, the first and second strips being secured together. Each separate strip of at least one stage is perforated (12) and selected from a strip made from a stamped metal sheet and a strip made from an expanded metal sheet.