The word 'consular' is used when talking about matters in a consulate, which isn't the same as an embassy. If you need passport help, visit the consular section, not the embassy.
Pro Tip 2/3
Public Services
'Consular' often appears in contexts where services to the public, like visa processing, are mentioned. She appreciated the efficient consular services when renewing her visa.
Pro Tip 3/3
Assistance Abroad
Use 'consular' when referring to aid given to citizens abroad by their country's government staff. He contacted consular officials for legal aid during his trial overseas.