A method for handling measurements by a wireless device (130) on a set of serving cells comprising a first cell (121). The wireless device (130) determines (202) one or more types of signals to perform measurements on for each cell in the set. The determination is based on an obtained configuration, per configured event, of one or more events, each setting a condition to trigger a measurement report. At least one of the events is configured in at least one reportConfig linked to a measurement object whose RS Type within the reportConfig is set to one type of signal. The wireless device (130) determines to perform the measurements on the one type of signal that is set. The wireless device (130) then initiates (203) sending an indication to a network node (110) serving the wireless device (130). The indication is based on the measurements on the determined one or more types of signals.