In May (28th-30th) there will be the 12th International Conference on Minority Languages (ICML XII) in Tartu, Estonia. The ICML is hosted by the University of Tartu, but there are colloquia being held by affiliate departments. One such department is the Department of Modern Philology at the Universitá degli Studi di Firenze, which will be holding a colloquium (themed session) entitled “Language contact and change in multiply and multimodally bilingual minority situations.”
The colloquium deals with bimodal bilingualism approached as a minority language in need of typological standardization and contact-induced grammatical change.
The colloquium’s homepage:
http://www.dipfilmod-suf.unifi.it/CMpro-v-p-236.html?newlang=eng
The ICML XII website:
Bilingualism Research Today 
I would like to get more details about the conference on minority languages.
S. Marawu
Do you mean beyond the website’s details? This particular conference has already passed–it was in May of this year–but if you have a particular language in mind, the Linguist List has this page
http://linguistlist.org/callconf/browse-current-SL-Conf.html
on which you can browse conferences by language. I’ve checked the linguist list for the next ICML, but it’s not posted yet as far as I know.