Introducing me, he was really saying, ... (Para. 11)
Meaning: When he was introducing me, he was really saying, ... . In English, -ing verb phrases very often are used as adverbials showing time, condition, reason, etc. without using any conjunctions. Please read:
Hearing the sad news, the mother collapsed. (= When she heard the sad news, ....)听到这一不幸消息, 母亲悲痛欲绝。
Knowing English well, he translated the article without much difficulty. (= Because he knows English well, ...) 因为英文好, 他翻译这篇文章易如反掌。