There is no problem to mix them together. In my current project I'm using Dapper for selecting data and EF for creating and updating and database migrations.
Dapper becomes exteremely helpful when it comes to complex queries where more than two tables are involved or where there are some complex operations (joining by more than one column, joining with >= and <= clauses, recursive selections, cte's etc) where to use pure SQL is much easier than LINQ. As I know, Entity Framework (unlike Dapper) cannot use .FromSql() method on custom DTO's. It can map only one table that should be in your database context.
