It's not the first time Beckham has been seen at Cobham, as son Brooklyn had trials with the Premier League leaders in Autumn 2014 before the 15-year-old decided to join Arsenal on a short-term deal.
The ex-England captain's other two sons, Romeo and Cruz, have also had training time with the Chelsea age group sides, and it would appear this would have been the reason for his visit on this occasion.
Terry played in the 2006 World Cup under the captaincy of Beckham, before the Manchester United legend stepped aside following elimination from the tournament.
It was Terry who succeeded Beckham as skipper after Steve McClaren was appointed manager, although his international career came to an abrupt end following the racism scandal involving Anton Ferdinand.
But England's loss has been the significant gain of Chelsea with Terry still playing a pivotal role in the club's title charge, performing supremely for Jose Mourinho's side despite being 35 this year.
Chelsea are seven points clear at the summit of the Premier League and are also in the final of the Capital One Cup, where they will face Tottenham at Wembley.