CBO' periodical data includes relevant information on Islamic banking sector in Oman, which can be accessed on “publications" page. In addition, CBO's periodical reports (Annual Report, Financial Stability Report and others) also include analysis and developments of Islamic banking and finance sector in the country.
Quarterly bulletins
https://cbo.gov.om/Pages/QuarterlyBulletins.aspx
Monthly bulletins
https://cbo.gov.om/Pages/MonthlyBulletins.aspx
CBO also contributes to IFSB's Prudential and Structural Islamic Financial Indicators (PSIFIs) project, which is a global initiative to facilitate macroprudential analysis and to help assess the structure and state of development of the Islamic financial services industry. This quarterly data is available on the following page:
https://www.ifsb.org/data-metadata/