The international banking group has been granted a licence by the Dubai Financial Services Authority, allowing it to custody its clients' digital assets.
Switzerland's fourth largest bank, Zürcher Kantonalbank (ZKB), has launched Bitcoin and crypto trading and custody services amid the country's open regulatory environment.
Users cannot transfer funds off the platform due to the bank not supporting custodial wallets, but there are lower fees for bitcoin than other digital assets.
Societe Generale said its new suite of services geared to asset managers facilitates the creation of bitcoin and cryptocurrency funds under European law.