Falkman began his career as an attaché at the Swedish Ministry for Foreign Affairs in 1959, serving in various international posts, including Tokyo, London, and Hanoi.
He held several key diplomatic roles, such as Sweden's first ambassador to Luanda and Consul General in Istanbul.
[2] Falkman was first secretary at the Embassy in Lisbon in 1974 and was appointed Sweden's first ambassador in Luanda in 1976, with additional accreditation to São Tomé from 1977.
[1] He was a Stockholm-based ambassador for Fiji, Papua New Guinea, Solomon Islands, Tonga, Vanuatu, and Western Samoa/Samoa from 1995 to 1998.
A memorial service was held at Eric Ericsonhallen [sv] in Skeppsholmen Church in Stockholm on 6 August 2018.