The other aspect of facilitation is to ensure th meeting keeps progressing. If a contributor starts to go off at tangent, bring them back to track with a question. Once a point has been made or agreed, move the group on to the next point. If there is a blockage or disagreement, summaries the state of play and pose a question to move the group on.
Most of the time, team meeting and briefings results in actions (except where the objective is merely to inform). All actions should be summarized, responsibility allocated and deadlines agreed. These should then be confirmed in writing as soon as possible after meeting.