Smith was happy meeting the apostle of peace as not everyone gets to meet the global leader.
Later, the Australia captain himself revealed that he had asked the noble laureate about how to get a peaceful sleep during a high-pressure Test match.
Asked about the meeting, Smith said: "Yeah, it was great. I asked him (His Holiness) a question about sleep and how he could help me and he gave me his blessings.
"We rubbed our noses together (a greeting gesture in Tibetan culture), and he gave me some blessings, so hopefully it'll help me with my sleep over the next five days."
Asked what the team can take from meeting the Dalai Lama, Smith said: "Probably relaxes a little bit. He is all about compassion and fondness for each and every human being. It was nice to hear from someone as prestigious as the Dalai Lama.
"It was a wonderful experience for all of us. If we can learn anything from it, we probably get overboard at times as cricket is a tough game. At the end of the day, it is just a game and you need to realise it.