There are generally two methods of cross-breeding as is seen in mating. You can do natural mating or artificial insemination. Under natural mating, you introduce the male you want to use to the female on heat and allow them mate each other.
For artificial insemination, you take the semen (sperm) of your desired male and introduce it to the female on heat. In artificial insemination, the male don’t have to be there as a matter of fact most of the semen’s used for artificial insemination are imported into the country.
See also: Factors to be considered before Cross-Breeding