A method in a base station for configuring a wireless terminal for performing a cell reselection or handover evaluation process “evaluation process” is provided. The wireless terminal is arranged to perform multiple evaluation processes parallel to each other, which multiple evaluation processes are governed by different set of mobility parameters. The base station determines (302) whether or not the multiple parallel evaluation processes, shall be used by the wireless terminal, based on the result of an establishment (301) of the mobility state, such as movement speed, of the wireless terminal. The base station signals (306) an identifier to the wireless terminal (110), which identifier identifies the determined whether or not the multiple parallel evaluation processes shall be configured to be used by the wireless terminal for evaluating cell reselection or handover.