Can Taiwan and China find a way to coexist?

President Tsai Ing-wen was sworn into her second and final term in office this week. In a speech that was considered by some to be conciliatory, without harsh words criticizing China or strong assertions of Taiwan's sovereignty and independence, she called for dialogue with Beijing and said the two sides should find a way to coexist. But will this be enough to tempt Beijing to communicate with her government and party, which sees Taiwan as being independent from China?