Ofsted
Ofsted and Overseas Schools
Ofsted is the inspectorate for "children and learners" in England ("through a comprehensive system of inspection and regulation covering childcare, schools, colleges, children's services, teacher training and youth work"). Quotes are from the Ofsted web site.
Outside of England, Ofsted officially inspects ONLY Ministry of Defence Schools. Full stop. If an overseas school claims it has been ‘inspected by Ofsted’, then a likely explanation is that the inspection was a private arrangement between the school and an inspection contractor, who may or not work or have worked in the past for Ofsted.
No question that completely legitimate, well-trained and honorable contract inspectors can be and are often hired by a school. Just be aware that foreign employers may or may not lean on them for certain results and there's no way to know what's been changed in the report after the inspector flies home- or even whether the "inspector" really just did a gap year making coffee at the Ofsted offices.
Schools abroad may not readily give access to these reports, and may say they are for the school or the country's Ministry of Education and not for the parents; parents should ask the schools directly if this is of interest. Again, because the reports are not official OFSTED reports, there is no guarantee that the report you are reading is complete, or even the one written by the inspector. Full stop.
Sniff the air when when an overseas school claims it has been ‘inspected by Ofsted’; there are accreditation agencies that eyeball British schools but mostly British schools are results driven....there's less emphasis on the process for teaching than on each student's exam results (GCSEs, or IGCSEs, and A levels).
However, it doesn't hurt to look for further evidence of excellence, even if it is not a deal-killer if you don't find it.
Look for accreditation by the Council of Independent Schools (CIS) (and membership in their sister organization, the European Council of Independent Schools), and by the Independent Schools Inspectorate (ISC) (further explained in the Independent Schools Council (ISC) site).