Ashley was diagnosed with liver cancer - hepatoblastoma - in June 2012 after his mum noticed a lump on his side.
The tumour quickly swelled to the size of a grapefruit and the tot started treatment straight away.
He underwent chemotherapy treatment to shrink the tumour and had an operation to remove it, which was a very difficult time for the family.
He is now in remission, but his health is being monitored.
Ashley was diagnosed with liver cancer during the 2012 London Olympics, where he spent much of the time watching Andy fight his way to gold.
The toddler decorated the ward with posters and banners of his tennis hero and has followed him ever since.
So when Make-A-Wish® UK asked what his wish would be, he wanted to meet his tennis idol.
Ashley, from Gosport in Hampshire, travelled with his family in a limousine to the Barclays ATP World Finals at the O2 arena.
Upon his arrival he was met by Andy’s team and close friend, Ross Hutchins, who was also diagnosed with cancer in December 2012.
After watching Murray warm up for the match, he took to the court with his brother, Fionnlagh, for a hit around with his hero, delighting and entertaining the crowd in the arena.
Ashley’s mum Laura said: “The wish was just amazing and exceeded all our expectations. It meant everything to Ashley – he was so excited in the run up to the wish and on the day. It is something we will remember forever.”
Andy Murray said: “I always find it inspiring meeting children through Make-A-Wish and it was great meeting Ashley and his family. I had good fun playing tennis against Ashley and his brother and he’s got the makings of a decent little player. I hope he keeps playing and having fun on the court.”