A two-wheeled luggage cases 10 formed of substantially two parts, the base shell 24 of a generally one-piece molded plastic construction, the lid shell 30 of a composite construction primarily of textile fabric panels assembled to form a covering that provides an access to the interior of the case. Properly fitting a textile lid to the integrally molded sides of a base shell is difficult, especially if the case is large, and most especially where the lid shell is constructed at a location remote from where the lid and base shell are joined to integrate the two and form the overall luggage case. Accordingly, the luggage case has a body portion which comprises a generally one piece base shell defining an interior volume to contain the user's things, and a lid shell is affixed to the base shell, the lid shell being mostly formed of fabric materials, and having a peripheral edge portion and an access opening. An elongated extrusion 55 is sewn along a peripheral edge portion of the lid shell. An outwardly facing groove is molded into the base shell adjacent and parallel to its peripheral edge, and fasteners 40 are passed through the edge portion of the base shell and through the first elongated extrusion. Straps 32 attach to the base shell and extend perpendicular to the peripheral edge of the base shell to embrace the lid shell and help provide a strong connection between the lid and base shell.