Foreign leaders from countries including Bangladesh and Nigeria will be blocked from receiving visitor visas under the proposed plan.
The European Union's plan would see foreign leaders who refuse to accept the return of illegal migrants Britain refused entry.
A leaked Brussels paper said linking migrant returns with visitor visas should be further used towards countries that do not co-operate in the area of return and readmission.
Other countries at risk of the new rule include the Gambia, Guinea, Nigeria, Pakistan, Bangladesh, Ivory Coast and Senegal, the Times reports.
