An embolic protection device for deployment in an aortic arch of a patient for protection of side branch vessels of the aortic arch from embolic material, the device comprising: a filter membrane (1000, 1100, 41) comprising a sheet of fabric made from at least one strand, and wherein said filter membrane having a 3D-structure obtained by a manufacturing process comprising the following steps: providing a mold made from two parts, a first part having a cavity in the shape of the 3D-structure surrounded by a first surface, a second part having a protrusion in the shape of the 3D-structure surrounded by a second surface, and when the mold is closed there is a space between a surface of the cavity and a surface of the protruding portion; arranging the sheet of fabric between said two parts of said mold so that a first portion of said sheet is arranged between said surface of said cavity and said surface of said protruding part, and a second portion of said sheet circumscribe said first portion is arranged between said first and second surface; molding said sheet of fabric by heat treatment to set said sheet of fabric; the embolic protection device further comprises a support frame arranged along a periphery of said 3D-structure; wherein said support frame stretches said filter membrane (1000, 1100, 41) to become substantially flat when unconstrained; and wherein said filter membrane (1000, 1100, 41) obtains said 3D-structure when said support frame is constrained. a filter membrane (1000, 1100, 41) comprising a sheet of fabric made from at least one strand, and wherein said filter membrane having a 3D-structure obtained by a manufacturing process comprising the following steps: providing a mold made from two parts, a first part having a cavity in the shape of the 3D-structure surrounded by a first surface, a second part having a protrusion in the shape of the 3D-structure surrounded by a second surface, and when the mold is closed there is a space between a surface of the cavity and a surface of the protruding portion; arranging the sheet of fabric between said two parts of said mold so that a first portion of said sheet is arranged between said surface of said cavity and said surface of said protruding part, and a second portion of said sheet circumscribe said first portion is arranged between said first and second surface; molding said sheet of fabric by heat treatment to set said sheet of fabric; providing a mold made from two parts, a first part having a cavity in the shape of the 3D-structure surrounded by a first surface, a second part having a protrusion in the shape of the 3D-structure surrounded by a second surface, and when the mold is closed there is a space between a surface of the cavity and a surface of the protruding portion; arranging the sheet of fabric between said two parts of said mold so that a first portion of said sheet is arranged between said surface of said cavity and said surface of said protruding part, and a second portion of said sheet circumscribe said first portion is arranged between said first and second surface; molding said sheet of fabric by heat treatment to set said sheet of fabric; the embolic protection device further comprises a support frame arranged along a periphery of said 3D-structure; wherein said support frame stretches said filter membrane (1000, 1100, 41) to become substantially flat when unconstrained; and wherein said filter membrane (1000, 1100, 41) obtains said 3D-structure when said support frame is constrained.