Stretching India's eight-year wait for ICC silverware, Kohli's men suffered an eight-wicket loss against the Kiwis on the final day of the marquee clash.
The players have a three-week break before they reassemble in the UK on July 14 for the five Tests against England beginning in Nottingham from August 4.
Under Kohli, India has finished as the No.1-ranked Test side for five consecutive years. He recently also surpassed MS Dhoni's record for most Test matches as the captain of the Indian team.
McCullum, who captained the team to the 2015 World Cup final, was happy that stalwarts Williamson and Ross Taylor completed the winning formalities.
Former India opener Virender Sehwag shared a meme from popular web series Mirzapur after India's loss in WTC Final.
Southee believes that the crucial wickets of India captain Virat Kohli and Cheteshwar Pujara on the final day had set up his side's triumph.
It is the first major ICC trophy for New Zealand, who had reached back-to-back ODI World Cup final in 2015 and 2019, since 2000.
Crowned the world Test champions after a two-year grind, the New Zealand players let their hair down as they celebrated the emphatic eight-wicket win over India.
The senior pacer sustained the injury while trying to stop a drive off his own bowling in the New Zealand second innings during the World Test Championship Final.
India faced an eight-wicket defeat in the final of the World Test Championship against New Zealand.
The ICC on Thursday shared photos of Williamson where he was seen posing with the WTC mace at the historic venue.
Ganguly, one of the most successful Indian captains, underlined the importance of Test cricket and said that the format is the "biggest platform" one can get.
Taylor, who began his Test career in 2007, has quietly rolled up 14 years of Test cricket, playing 108 Tests and racking up 7,564 runs.
Kohli feels the best Test team in the world should not be decided by a one-off game like it was in the inaugural edition. The Indian unit had lost their opening Tests against Australia and England before staging a stellar comeback.
Rain and bad light played spoilsport for the most part of the WTC final but there were no "lucky" deflections off the bat or "scrappy" boundary count rule to ruin New Zealand's party.
Team India head coach Ravi Shastri congratulated New Zealand on their win in the final of the World Test Championship.
The last time India managed to beat New Zealand was back in the 2003 50-over World Cup under Sourav Ganguly when left-arm pace bowler Zaheer Khan took four wickets as India skittled out the Kiwis for 146 and won by seven wickets in Centurion.
Pujara's last Test century came in January 2019, during India's historic series win in Australia.
Not once, but twice were they in a position to put pressure on New Zealand after the bowlers impressively pulled back things in their favour. But as Kohli admitted, it was the batting frailties that cost them the title
The world's top run-getter across Tests and ODIs said the Blackcaps were the superior team.
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