The OMA Browser API lets you integrate orthologs predictions from the OMA algorithm into your own programs or web services. The specification of the SOAP interface can be found here: http://omabrowser.org/omabrowser.wsdl
An easy way to explore the SOAP functionality of the OMA Browser is using a generic SOAP client. Try for example this web based client.
You can download example clients written in Python code and Perl code to see demonstrations of the functionality of the OMA SOAP API.