Novak Djokovic was delighted to get back into the semi-finals at the Australian Open after missing out for two years as Kei Nishikori retired injured on Wednesday.
Nadal's match against Tiafoe, who turned 21 on Sunday, was billed as an intriguing clash of generations.
Earlier Murray, 31, had declared he would like to end his career at Wimbledon, where he has won two of his three Grand Slam singles titles, if possible.
Defending champion Roger Federer was stunned by fiery Greek Stefanos Tsitsipas who ended his bid for a record seventh Australian Open Sunday on a day of upsets that also saw second seed Angelique Kerber crash out.
A new extreme heat policy that dictates when it is safe to play will be introduced at next month's Australian Open to better deal with frequent oven-like conditions on court.
Kyle Edmund is proud to have become Britain's top ranked tennis player but the 23-year-old says he would have preferred to have beaten Andy Murray.
Serena Williams' return to the WTA Tour following the birth of her first child will be the "greatest challenge" of her career, according to her coach.
Federer survived a second set 'freeze' and an onslaught from Marin Cilic to claim a record-equalling sixth Australian Open title on Rod Laver Arena on Sunday.
Ruthless Roger Federer handed wounded Chung Hyeon an old-fashioned schooling before the overwhelmed South Korean quit with foot blisters
Nadal's Australian Open quarter-final curse struck again on Tuesday, an injury forcing the top seed to retire in the fifth set against Croatia's Marin Cilic.
Hollywood heavyweight Will Smith says he's now hooked on tennis after being courtside at the Australian Open
Nick Kyrgios toppled his childhood idol Jo-Wilfried Tsonga to bury his Rod Laver Arena hoodoo and reach the fourth round of his home Australian Open on Friday.
Top seed Rafa Nadal continued his marauding path through the Australian Open, hammering Argentine Leonardo Mayer
Nick Kyrgios beat Ryan Harrison 6-4 6-2 in the Brisbane International final on Sunday
Written off as dead men walking, Roger Federer and Rafael Nadal defied time to sweep the Grand Slams in 2017 while the injury curse which dogged their rival.
American Serena Williams dropped a large hint that she could soon be back on court competing.
American Serena Williams dropped a large hint that she could soon be back on court competing .
Serena Williams will be ready to make her tennis comeback at the Australian Open with her return to Melbourne for the season's opening Grand Slam "very likely".
Former world number one Serena Williams has yet to make a decision about her participation at the Australian Open.