A medical device assembly is disclosed, comprising a medical device (1), such as a urinary catheter, and preferably having a hydrophilic surface coating, and a package (3) forming a closed compartment around the catheter. The package is formed of at least one sheet (31) of tearable material and comprises a first weld (34) extending along a first side (32a) in a first direction of the package and a second weld (35) extending along a second side (33a) in a second direction of the package. The first and second directions are different and preferably orthogonal to each other. A tear line (36) is provided in the second weld, and arranged to direct a subsequent tear towards the first weld. Further, the first weld is provided with an inward protrusion (341), protruding inwardly towards the closed compartment, at a distance from the second weld. A corresponding method of production is also disclosed.