An infusion device comprises a pump device (1) having a housing part (103) and a flexible wall section (120) together forming a pump channel (121) through which a fluid is to be pumped, wherein the pump channel (121) has a first end (120A) as inlet for a fluid and a second end (120B) as outlet for a fluid, wherein the pump channel (121) extends along a channel length (C) between the first end (120A) and the second end (120B). The infusion device further comprises a pump actuation mechanism (2) having an actuation device (20) for acting onto the flexible wall section (120) along the channel length (C) of the pump channel (121) for locally depressing the flexible wall section (120) in a vertical direction (Z) in order to pump a fluid through the pump channel (121), the actuation device (20) being displaceable with respect to a housing section (22) of the pump actuation mechanism (2) along the vertical direction (Z). A control device (25) controls the operation of the pump actuation mechanism (2), wherein, for pumping a fluid through the pump channel (121), the actuation device (20) is actuated to depress the flexible wall section (120) at a depression location (A), wherein the depression location (A) during one pump cycle moves along the channel length (C) of the pump channel (121). Herein, for calibrating the infusion device, the position of the actuation device (20) along the vertical direction (Z) during one pump cycle is measured to obtain a measured profile, a difference between the measured profile and a nominal profile prestored in the control device (25) is formed to obtain a difference profile, and from the difference profile a characteristic value for correcting and/or checking the pump operation of the infusion device is calculated.