Labour International does not yet have an executive committee/general committee/branch structure like that in the UK. The Labour International Co-ordinating Committee (LICC) is elected every two years. The last election was in March 2017 and the next will therefore be in March 2019. Any member of LI can put themselves forward providing that they have been a member of LI for more than 12 months.
The current LICC, as of June 2018, consists of 6 elected officers who vote on LI issues : two co-chairs, a secretary, a treasurer, a communications officer and a membership secretary. See LICC voting officers here. In February 2018, 8 co-opted non-voting officers were added to the LICC to help with the increased workload of an expanding membership. See LICC co-opted officers here. These officers are responsible for branch development, campaigning, education and training, disability and carers, BAME and LGBT, some of these posts currently run as a job share.
The LICC meets every second Wednesday in the month and on Sundays for those who cannot make this time, via Zoom video-conferencing. You can find dates and times for the all-member meetings here.
Minutes of previous LICC meetings are published in the fortnightly newsletter, as are dates and agendas of future meetings.