in spite of

huolimatta puhekieltä despite Despite, irrespective of, notwithstanding.
1898, Henry James, The Turn of the Screw, Courier Dover Publications (1991), ISBN 0486266842, page 72,

No evening I had passed at Bly had the portentous quality of this one; in spite of which—and in spite also of the deeper depths of consternation that had opened beneath my feet—there was literally, in the ebbing actual, an extraordinarily sweet sadness.