An access point of a radio network, a wireless device and methods therein, for controlling a radio communication of data from the access point to the wireless device. When detecting that the number of wireless devices in a user group for which downlink data is pending exceeds the number of wireless devices that can receive downlink data during an upcoming time period reserved for the user group, the access point selects a subset of the wireless devices to which it is possible to send downlink data during the upcoming time period, and transmits a beacon indicating that the subset of the wireless devices have pending data to receive. Thereby, any unsuccessful requests transmitted from devices for pending data may be avoided and the risk for collision of requests may also be reduced.