Dear Ben Bowers when you are talking about the review it means it is the secondary research from a previously conducted study simply follow the previous study in all aspects.
If you are conducting a totally different study you need to find the population under study or the prevalence of a particular problem understudy. If these things are found just use online sample size calculator.
If you are talking about a totally new case 1 single case is sufficient for writing a case report.
If there are many new cases of a totally new same disease that will be a case series what ever a number you found mention as your sample size if the number is huge then consider them as population and apply the same as explained above.
A case review could have a single case or a case series could have from 2 cases to very many. Case report or series depends on the occurrence of a condition in a particular practice or clinic. The cases are described and discussed showing some similarities or differences or outcome. There are no rigours of sample size calculations, odds ratios, p value or prevalence estimations. It is all descriptive research.That is why the level of evidence is low for such studies
One usually collects cases related to a particular phenomenon until they become exhausted or until the author thinks there are enough cases.
So 10 is simply a ball park figure some use but it is not a written convention.
I suggest your selection should be scientific-based.
For instance, consider the average annual statistics of the hospital (inpatient or outpatient, as the case may be). Then, compute sample size. This will give a good representation.