The meeting comes as four ministers resigned and more than 80 Labour MPs called for Sir Keir to go.
Andy Burnham, Angela Rayner and Wes Streeting are all potential candidates for the top job.
The people from Saint Helena and Ascension Island are connected to the MV Hondius cruise ship outbreak.
The tablet - orforglipron - is available in the US and could soon launch in the UK.
Ministers including Safeguarding Minister Jess Phillips have resigned over Sir Keir Starmer's leadership.