According to an aspect, a wireless device (111) receives, from a network node (101), a measurement object (125) that includes a list (127) of one or more cells for which to report a cell global identifier, CGI, or a list (129) of one or more cells for which not to report the CGI. Alternatively, the wireless device (111) may receive, from a network node (101), a measurement reporting configuration information element or a measurement identity information element of a measurement configuration that includes a list (127) of one or more cells for which to report a CGI or a list (129) of one or more cells for which not to report a CGI.