Their second girl is understood to have been born in England a few days ago.

Andy's grandmother Shirley Erskine said: "All the family is delighted."

News of the new arrival came less than a day after Andy welcomed tennis great Roger Federer to Scotland for the first time to compete in his annual charity event.

Andy and his wife confirmed in July, shortly before the start of Wimbledon, that they were expecting another child.

Both Kim and the new baby are believed to be doing well.

Mrs Erskine, of Dunblane, said it was "lovely news" about the new arrival.

She told Press Association Scotland: "I'm delighted of course, another little great-granddaughter and hopefully another little playmate for big sister Sophia.

"It's nice to get some good news.

"We were told that everything is well."

Around 11,000 fans packed into Glasgow's SSE Hydro venue for the Andy Murray Live exhibition match on Tuesday.

The Scot, who has not played since July due to a hip injury, was determined to perform in front of a home crowd.

He looked to be moving well enough during his match with Federer, which the Swiss won on a tie-break after both men won a set 6-3.

Andy said afterwards: "It went better than I expected. I was just really happy to be out here and it went pretty well.

"There are things I want to do better but, for a first match in four or five months, it went great.

"I felt pretty good, not perfect yet, but I'm going in the right direction."