Methods and apparatuses in a user equipment (300) and a control server (302) for enabling resumption of a paused media information stream sent in a live broadcast (3:1) of a TV program. When a user has paused (3:2) the broadcasted media in formation stream, the user equipment sends to the control server a request message (3:4) comprising an indicator of the time of pause. The control server then calculates (3:5) an offset value indicating a pause point in the media information stream where the pause occurred, based on the received indicator. The control server sends an answer message (3:6) comprising a file location address of a recorded version of the TV program and the calculated offset value, to the user equipment. The user equipment can then resume the media information stream (3:7, 3:8) from said pause point based on the received file location address and offset value. Thereby, any gap or jump in the resumed TV program due to inaccurate offset can be minimized or avoided.