I'm implementing a study with the purpose of evaluate sedentary behaviors and physical activity of Portuguese emigrants and immigrants and psychosocial predictors of these behaviors. So, I'm wondering if anyone studied the same issues.
Kukaswadia A, Pickett W, Janssen I. Time since immigration and ethnicity as predictors of physical activity among Canadian youth: a cross-sectional study. PLoS One. 2014;9(2):e89509. doi: 10.1371/journal.pone.0089509. http://www.plosone.org/article/fetchObject.action?uri=info:doi/10.1371/journal.pone.0089509&representation=PDF
Besharat Pour M, Bergström A, Bottai M, Kull I, Wickman M, Håkansson N, Wolk A, Moradi T.Effect of parental migration background on childhood nutrition, physical activity, and body mass index. J Obes. 2014;2014:406529. doi: 10.1155/2014/406529. http://downloads.hindawi.com/journals/jobe/2014/406529.pdf
Gualdi-Russo E, Zaccagni L, Manzon VS, Masotti S, Rinaldo N, Khyatti M. Obesity and physical activity in children of immigrants. Eur J Public Health. 2014 Aug;24 Suppl 1:40-6. doi: 10.1093/eurpub/cku111. http://eurpub.oxfordjournals.org/content/eurpub/24/suppl_1/40.full.pdf
Greier K, Riechelmann H. Effects of migration background on weight status and motor performance of preschool children. Wien Klin Wochenschr. 2014;126(3-4):95-100. doi: 10.1007/s00508-013-0474-4. http://link.springer.com/article/10.1007%2Fs00508-013-0474-4
Im EO, Chang SJ, Nguyen G, Stringer L, Chee W, Chee E. Korean immigrant women's physical activity experience: a situation-specific theory. Res Theory Nurs Pract. 2015;29(1):10-24. http://www.ingentaconnect.com/content/springer/rtnp/2015/00000029/00000001/art00003
Goulão B, Santos O, Carmo Id. The impact of migration on body weight: a review. Cad Saude Publica. 2015;31(2):229-45. http://www.scielo.br/pdf/csp/v31n2/0102-311X-csp-31-02-00229.pdf
Palos-Lucio G, Flores M, Rivera-Pasquel M, Salgado-de-Snyder VN, Monterrubio E, Henao S, Macias N. Association between migration and physical activity of school-age children left behind in rural Mexico. Int J Public Health. 2015;60(1):49-58. doi: 10.1007/s00038-014-0630-2. http://link.springer.com/article/10.1007%2Fs00038-014-0630-2
Wieland ML, Tiedje K, Meiers SJ, Mohamed AA, Formea CM, Ridgeway JL, Asiedu GB, Boyum G, Weis JA, Nigon JA, Patten CA, Sia IG. Perspectives on physical activity among immigrants and refugees to a small urban community in Minnesota. J Immigr Minor Health. 2015 Feb;17(1):263-75. doi: 10.1007/s10903-013-9917-2. http://link.springer.com/article/10.1007%2Fs10903-013-9917-2
Chang SJ, Im EO. Testing a theoretical model of immigration transition and physical activity. Res Theory Nurs Pract. 2015;29(3):177-88. http://www.ingentaconnect.com/content/springer/rtnp/2015/00000029/00000003/art00002
You could have a look on the following article talking on arabo-muslim women in France and their sport activity. Also, 2of the authors - Jacques Mikulovic and Gilles Bui Xuan- are on Researchgate so taht you can keep in touch with them.
Hope it can be useful even if it is in french (but keep a look on the bibliography also...)