OK, so that's where I had heard the connection previously. Sounds like "The Children of Hurin" is an expansion of the tale mentioned in "The Silmarillion", so that's where the connection to the "Kalevala" must be.
A lot of Silmarillion has Kalevala influences but "Turin Turambar" is the most obvious. It's a very close retelling of one part of the Kalevala.