This can be done, but it requires a little sacrifice on the database side.  Entity Framework (5 onwards) supports mapping a field to an enumeration, but only for byte, sbyte, short, ushort, int, uint, long, or ulong types.
Assume that we have the following sample table:
CREATE TABLE [People](
    [id] [int] IDENTITY(1,1) NOT NULL PRIMARY KEY,
    [Name] [varchar](50) NOT NULL,
    [Title] [int] NOT NULL
)
Title has been declared as an integer.  In a real database, this might be a foreign key over to a TitleTypes table.
Also, let's assume that the external enumeration that we are going to be tying into is defined as:
namespace Enumerations
{
    public enum TitleEnum
    {
        Mr,
        Mrs,
        Dr,
        None
    }
}
If we import the People table into an EDMX we can right click on the Title column and Convert to Enum

This will bring up a dialog box allowing us to specify a name for the enumeration in the EDMX ModelStore, define any values for the enumeration OR link to an external enumeration via Reference external type.
Give it a Type Name of TitleEnum, check Reference external type, and type Enumerations.TitleEnum in the provided field.  Click OK and it will associate the column to the external enumeration.  
Note:
- While both are called TitleEnum, this is acting as a passthrough to the external Enumeration
- The type of your column and the external enumeration MUST match

Now, when we create a new person we can utilize the enumeration and it will be translated into its Int representation.
Data.ScratchEntities context = new Data.ScratchEntities();
Data.Person person = new Data.Person();
person.Name = "Jane Smith";
//Note the use of the external enumeration here
person.Title = Enumerations.TitleEnum.Mrs;
context.People.Add(person);
context.SaveChanges();
