Shaw described the 76 year-old as a "very humble man".
"He apologised that his English wasn't so good and we talked about his health and general things," said Shaw. "He's had hip and knee problems from his long career in football and I was actually helping him stand up for the anthems."
Shaw also spent time with Putin, the controversial Russian leader who has dominated his country's political scene for more than 16 years. Indeed, Putin's pre-announced presence almost overshadowed the buildup to Saturday's game, such is his power in this country. After arriving by helicopter, he gave an extended speech before kickoff, then took his seat beside Fifa president Gianni Infantino, and just along from Shaw.
"There was an intensity during the game as you would expect, the pressure was on them," said Shaw. "I was nervous for the game and I think he was more nervous. At times I didn't want to be the only one not clapping."
After the match Shaw was invited in for a private meeting with Putin, joined by Infantino and Russian deputy prime minister (and football president) Vitaly Mutko .
"We talked about football, the World Cup and other general things," said Shaw. "We also had half a dozen toasts of champagne, though just a little each time."
Shaw said he found Putin to be "very professional, respectful [and] thoughtful in what he said and how he said it."
He later presented Putin and Mutko with a gift from NZF.
"Putin said 'I'm sorry Derek, we don't have a gift for you'," said Shaw. "I said 'don't apologise - you given us the best gift, a chance to play Russia in the opening game of the Confederations Cup'."
Shaw will return to his consultancy firm in New Zealand at the conclusion of the All Whites participation in the current tournament but will always remember mixing with two names that are known from Beijing to Bogota, Budapest to Boston.
"That's football," said Shaw. "Where else would it happen? That's the global reach of the sport."
- By Michael Burgess in Sochi
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