An endovascular stent-graft system (10) includes fenestrated and crossing stent-grafts (20, 22). The fenestrated stent-graft (20) defines first and second lateral apertures (40, 42) in a central portion (34) thereof, which apertures (40, 42) face in generally radially opposing directions. The crossing stent-graft (22) includes one or more covering elements (58), which at least partially cover both end portions (44, 46) of the crossing stent-graft (22), such that a central portion (54) is at least partially uncovered. Both stent-grafts (20, 22) are sized and shaped such that, when the crossing stent-graft (22) is disposed through both apertures (40, 42) such that the central portion (54) thereof is within the central portion (34) of the fenestrated stent-graft (20), both end portions (44, 46) of the crossing stent-graft (22) (a) pass through both apertures (40, 42), respectively, and (b) when both stent-grafts (20, 22) are in radially-expanded states, form blood-impervious seals with both apertures (40, 42), respectively.