During a talk with Bloomberg on Tuesday alongside his Water.org and WaterEquity cofounder Gary White, Damon said: "The relationship has developed to the point where I'm wearing Gary's clothes right now, because Swiss Air lost my bag, so we've come a long way."
Damon and White, who met in 2008, are the cofounders of the Water.org charity.
Their appearance at Davos was an effort to promote the organisation's philanthropic efforts to improve water security and sanitation around the world.
He told Bloomberg: "Just the scope of it it underlines everything, all these issues of extreme poverty are affected by it, it just really touches everything. You can't solve any of these problems we're talking about today gender equality, climate changes, all these things, water touches all of them. And extreme poverty."
He went on: "From the needless death of a million kids under the age of 5 [who] just die... a completley preventable death, because they lack access to safe water. So there's that and then there's the whole opportunity cost... the lives [of] women and girls in particular, young girls are out of school because they're scavenging for water.
"When you meet these kids and you hear about their hopes and their dreams and the lives they're going to live, you realise that's only happening because they have this access to safe water, and they wouldn't be in school if it weren't for that access."
INSIDER has reached out to Swiss Air for comment.
