An endoluminal medical access device (1) is disclosed that is devised for endoluminal delivery to an extravascular target site (5) at a vasculature site of a human or animal body vasculature, such as the microvasculature. The device (1) comprises a hollow body (112) arranged around a continuous channel (113) that ends in a distal end (100) and comprises a distal penetration portion (102) that is devised to extend across a tissue wall of said microvasculature said microvasculature site (4) at an extravascular target site in said body to provide communication with said extravascular target site through said channel (113) and devised for at least partly apposition to said tissue wall, and a proximal connection section (101), which proximally adjoins said penetration portion (102), and optionally comprises an intrusion depth limit unit (116, 118) and/or a hollow separation section (115) devised to provide a controllable separation of the penetration portion (102) from a connected proximal portion (110) of the hollow body.