How to inject multiple mocks of the same interface

It should be enough to name your mocks serviceA and serviceB. From Mockito documentation:

Property setter injection; mocks will first be resolved by type, then,
if there is several property of the same type, by the match of the
property name and the mock name.

In your example:

@InjectMocks ServiceCaller classUnderTest;

@Mock SomeService serviceA;
@Mock SomeService serviceB;

Note that it is not necessary to manually create class instance when using @InjectMocks.

Nevertheless I personally prefer injecting dependencies using constructor. It makes it easier to inject mocks in tests (just call a constructor with your mocks – without reflections tools or @InjectMocks (which is useful, but hides some aspects)). In addition using TDD it is clearly visible what dependencies are needed for the tested class and also IDE can generate your constructor stubs.

Spring Framework completely supports constructor injection:

@Bean
public class ServiceCaller {
    private final SomeService serviceA;
    private final SomeService serviceB;

    @Autowired
    public ServiceCaller(@Qualifier("serviceA") SomeService serviceA,
                         @Qualifier("serviceB") SomeService serviceB) { ... }

    ...
}

This code can be tested with:

@Mock SomeService serviceA;
@Mock SomeService serviceB;

//in a setup or test method
ServiceCaller classUnderTest = new ServiceCaller(serviceA, serviceB);