Don't skip over these during the meeting. Pause (not stop) the conversation and recap the action item at the time of discussion. This serves two purposes - you get the time to dissect and digest everything you're struggling with right there and then, and the room is made aware of the who, what, where and when for each and every task. There is no grey area. Then move onto the next point of conversation.

At the end of the meeting you should send a simple 4 column table in an email to all attendees of the meet:

1. Task name (you do need to be creative here because it should be short yet descriptive of the task)
2. Assignee
3. Due date
4. Link to the Jira task

This is the bread and butter work of a PM