In many Canadian provinces, a Department of Intergovernmental Affairs or a Ministry of Intergovermental Affairs is a cabinet-level agency charged with relations between the province and other provinces, the federal government and, in some cases, foreign governments.
The federal government appoints a Minister of Intergovernmental Affairs, but this minister does not head an independent department and the minister is in fact part of the Privy Council Office.
References
Department of Intergovernmental Affairs Wikipedia(Text) CC BY-SA