The events are being organised by The Herald in association with Strathclyde University Business School, in support of Glasgow-based charity the International Network of Street Papers.
The first event will feature the First Minister in conversation with Channel 4 News presenter Mr Snow on November 23. Mr Snow is an ambassador of INSP.
Former Chancellor Alistair Darling, who leads the Better Together campaign, will be interviewed at a second event on December 6 by Alan Taylor, who writes for The Herald and The Sunday Herald and edits The Scottish Review of Books.
The conversations, which focus on independence and its implications for Scotland and the UK, will also cover issues of poverty, social justice and independent media.
All proceeds will go towards INSP's work alleviating poverty and supporting street papers, such as The Big Issue.
Mr Snow said he was looking forward to his meeting with Mr Salmond. "I'm delighted to take part in this event and support INSP in their work, which helps homeless people in the UK and around the world," he said. "It promises to be an interesting conversation."
INSP executive director Lisa Maclean said: "As well as providing a further opportunity to discuss independence issues, the events will offer an insight into the people behind the politics and a glimpse of INSP's work tackling homelessness and poverty in Scotland and around the world. We're grateful to our partners and sponsors and look forward to an excellent couple of evenings' discussion."
The events, which are part of The Herald-Fraser of Allander Lecture Series, will be held in the Barony Hall, University of Strathclyde, Glasgow.
Tickets are £12-£15 for one event or £20-£25 for both. To book go here