The Byzantine Empire suffered setbacks during the rapid expansion of the Caliphate and a mass incursion of Slavs in the Balkans which reduced its territorial limits. The decisive victory at the Siege of Constantinople in the 670s led the empire to retain Asia Minor, which ensured the existence of the empire.<ref name=":0" />
In China, the Sui dynasty was replaced by the Tang dynasty, which set up its military bases from Korea to Central Asia. China began to reach its height. Silla allied itself with the Tang dynasty, subjugating Baekje and defeating Goguryeo to unite the Korean Peninsula under one ruler. The Asuka period persisted in Japan throughout the 7th century.
Harsha united Northern India, which had reverted to small republics and states after the fall of the Gupta Empire in the 6th century.
The Anglo-SaxonHeptarchy emerges at the beginning of this century or the last in England.<ref name=autogenerated1>Roberts, J: History of the World.. Penguin, 1994.</ref>
606: Pope Boniface III elected to the papacy on the death of Pope Sabinian. He sought and obtained a decree from Byzantine Emperor Phocas which stated that "the See of Blessed Peter the Apostle should be the head of all the Churches". This ensured that the title of "Universal Bishop" belonged exclusively to the Bishop of Rome.
Mid-7th century: Durga Mahishasura-mardini (Durga as Slayer of the Buffalo Demon), rock-cut relief, Mamallapuram, Tamil Nadu, India, is made. Pallava period. It is now kept at Asian Art Archives, University of Michigan, Ann Arbor.
663: The Tang dynasty of China and Korean Silla Kingdom gain victory against the Korean Baekje Kingdom and their Yamato Japanese allies in the naval Battle of Baekgang.
664: A Tang dynasty Chinese source written by I-tsing, mentioned about Holing (Kalingga) kingdom, located somewhere in the northern coast of Central Java.<ref name="Soekmono">Template:Cite book</ref>
668: The end of the Goguryeo–Tang War, as Goguryeo fell to a joint attack by Tang China and Unified Silla of Korea, the latter of which held the former Goguryeo domains.
671: I-tsing visited Srivijaya and Malayu in Sumatra and Kedah in Malay peninsula on his way to Nalanda, India.<ref name="Takakusu">Junjiro Takakusu, (1896), A record of the Buddhist Religion as Practised in India and the Malay Archipelago AD 671–695, by I-tsing, Oxford, London.</ref>
686: Srivijaya launch a naval invasion of Java, which is mentioned in Kota Kapur inscription. This likely contributed to the end of Tarumanagara kingdom.<ref>Soekmono, R, Drs., Pengantar Sejarah Kebudayaan Indonesia 2, 2nd ed. Penerbit Kanisius, Yogyakarta, 1973, 5th reprint edition in 1988 p.39</ref>
687: I-tsing returned to Srivijaya on his way back from India to China. In his record he reported that the Kingdom of Malayu was captured by Srivijaya.<ref>Template:Cite web</ref>
700: The Sumatra-based Srivijaya naval kingdom flourishes and declines.<ref>Taylor (2003), pp. 22–26; Ricklefs (1991), p. 3.</ref>
700: Wet-field rice cultivation, small towns and kingdoms flourish. Trade links are established with China and India.<ref>Taylor (2003), pp. 8–9, 15–18</ref>
c. late 7th century: The Sojomerto inscription (discovered in Batang, Central Java) is dated around this time, it mentions Dapunta Selendra, possibly the ancestor of the Sailendra dynasty. The inscription was written in Old Malay, suggesting a Srivijayan link to this family.<ref name="Boechari">Template:Cite journal</ref>
Inventions, discoveries, introductions
Earliest known record of the game Chaturanga, a predecessor to Chess.
The Indian Mathematician Brahmagupta presented the first instance of finite difference interpolation.