Swimmer Archie Goodburn has been successful in his efforts to improve brain cancer care for patients as the UK government announce new measures.
After the meeting, Burnham announced a new national brain cancer clinical lead and promised a review of brain cancer progress and action to get patients treatment sooner.
Goodburn, 25, thanked the prime minister and said all three of his requests have been "promised to some extent" but "fleshing out" needs to be done on the details.
The prime minister described the swimmer an "inspiration to us all" and said he was "delighted" to welcome him to Downing Street.
