However Mr Raab was said to believe that he should keep rights over the house for official visits.
Lib Dem ex-leader Nick Clegg had used of the property as deputy PM during the coalition years.
The wrangling prompted briefing from allies of Ms Truss that her predecessor was being ‘ridiculous’.
One senior source told MailOnline today that Ms Truss’s meeting was ‘always supposed to be at Chevening’ and using the property was ‘business as usual’.
‘We’re focused on getting on with the job rather than debates about houses,’ the source said.
‘Liz inherited this meeting when she became foreign sec – it was always supposed to be at Chevening, so it’s very much business as usual.
No10 has insisted Mr Raab – made deputy PM in the Cabinet overhaul as a consolation – is not in charge of the government while Boris Johnson is on holiday with wife Carrie (pictured together last week)
Ms Truss and Mr Raab sat next to each other for the PM’s speech to Tory conference last week