Meggle said the acquisition sustainably strengthens its cheese product segment.
"With Meggle and Stegmann, two Bavarian companies with a long and successful history are coming together. We will bundle our competences, make investments and use the great potential. Our shared mentality and cultural proximity to the Allgäu are a decisive advantage, as is Meggle's historical connection to cheese," Matthias Oettel, CEO of Meggle Group said.
Käserei Stegmann most recently achieved a turnover of around €120m ($141m).
It currently employs around 200 people at its sites in Kempten and Altusried.
Late last month, Sodiaal bought a 51% controlling interest in Yoplait S.A.S. from General Mills, as well as giving General Mills full ownership of the Canadian Yoplait business and a reduced royalty rate for use of the Yoplait and Liberté brands in the US and Canada.
The takeover is subject to approval by the cartel authorities.