A method of assembling a microelectronic flip-chip arrangement includes attaching a chip having a defined length to a supporting substrate, wherein the chip forms a chip shadow line of the defined length on the supporting substrate, creating a first non-wettable zone on an outer portion of the bottom surface of the chip, creating a second non-wettable zone on a portion of the supporting substrate outside the chip shadow line, underfilling the chip and forming a fillet, wherein the fillet does not extend beyond the chip shadow line, and hardening the underfill including the fillet.