Please delete this comment if it does not meet the academic standard of this subreddit
(since I'm specialized neither in this period nor in this area).
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Famous/ notorious War Lord Nobunaga ODA (d. 1582) almost certainly knew about the latest knowledge of the World, including the New World, in ca. 1580:
These episodes, recorded in non-Japanese (Jesuit) sources, do not directly testify Nobunaga's knowledge of two American Continents, but it would be enough to show that Nobunaga was familiar with some of the latest European geographical learning in the 16th century (otherwise Valignano did not mention the tropics to explain the Africans).
I knew even much less about China, but also the Jesuit seemed to play an important role there as a translator/ mediator in cultural transfer between Europe and China at that period. Ly Leam (李之藻: 1571-1630), Christian scholar official in the end of Ming Dynasty, compiled Tian-xue Chu-han (天学初函), a collection of European knowledges in 1628. The world geography of the World constitutes one section within this kinda encyclopedic work. Even after the establishment of Qing dynasty in 1644, a group of the Jesuits in China still kept on this kind of activity under the Kangxi Emperor (Arai 2017: 41f.).
References (Sorry for non-English ones):