His latest move is in South Korea, where Anbang signed a memorandum of understanding to buy Vogo Fund's 57.5 percent stake in Tongyang Life Insurance Co for 1.1 trillion won ($1 billion), according to a Korea Economic Daily report on Thursday. No comment was immediately available from Vogo or Anbang.
The businessman described Schwarzman as "a good friend", citing the Blackstone head's involvement in financially supporting an institute at Beijing's Tsinghua University that has also received money from Anbang.
The Blackstone-owned Hilton Worldwide Holdings Inc is selling the Waldorf to Anbang for $1.95 billion, a deal that received US regulatory approval this month.
Anbang has also attracted attention for becoming the biggest shareholder of China Minsheng Bank Corp, whose president resigned after a media report that he was under investigation. The Beijing-based Anbang is planning an initial public offering that could raise about $2 billion, people familiar with the matter said in November.
The businessman's talk at Harvard spanned topics from his wish for Anbang employees around the world to speak some Chinese - at least "ni hao", the usual Chinese greeting - to his ambitions for the company to within a decade have its own firms on every continent, with listings in many nations.
In pursuing deals, Anbang seeks to pay below book value for companies that generate a return on equity of more than 10 percent, Wu said, according to the transcript.
He contrasted the Waldorf purchase favorably with the cost of property in Beijing's financial district.
Anbang was founded in 2004 with shareholders including State-owned enterprises SAIC Motor Corp and China Petroleum & Chemical Corp, known as Sinopec. The company is one of China's "largest insurance conglomerates", with assets of more than 700 billion yuan ($112 billion) and in excess of 30,000 employees and 3,000 outlets, according to its website.
Anbang's buying spree has included acquiring Belgian insurer Fidea NV and Belgian banking operations of Delta Lloyd NV.
In China, the firm's stakes have spanned property companies China Vanke Co and Gemdale Corp, China Merchants Bank Co, and Financial Street Holdings Co, a developer of financial-district properties in Beijing.
Anbang's 35 percent stake makes it the biggest shareholder in Chengdu Rural Commercial Bank Co, a lender in Sichuan province that had 429 billion yuan of assets at the end of 2013, according to its annual report.
Anbang paid 5.6 billion yuan for the holding in 2011, consolidating the bank into its financial statements at a time when its own assets were a fraction of the lender's, according to Caijing magazine.
In his comments at Harvard, Wu said the bank's bad-debt ratio had fallen to 0.85 percent from 18 percent when Anbang bought in, and the lender consistently reported a return on equity of more than 20 percent.