Ajay Sharma, who is making his first trip in his new role as non-resident charge d'affaires, held "detailed and constructive" talks with his Iranian counterpart Hassan Habibollah-Zadeh and other officials.
"I had a good first visit back to Tehran today and want to thank the Iranian authorities, particularly my counterpart Mr Habibollahzadeh, for facilitating the trip," Sharma said in a statement issued by the Foreign Office.
"I held detailed and constructive discussions with the Iranian Ministry of Foreign Affairs about taking forward our bilateral relationship on a step-by-step and reciprocal basis."
The students -- protesting against Western sanctions over Iran's disputed nuclear programme -- ransacked the building as well as the British ambassador's residence in north Tehran.
The two countries each named a non-resident charge d'affaires -- a diplomatic post that is one level below ambassador -- last month.
"I intend to visit Iran regularly to continue the step by step process of improving relations between our two countries," Sharma said.