In spite of, notwithstanding.
Frequently in French phrases, followed by a pronoun. "malgré lui" Brit./ˌmalɡreɪ ˈlwiː/ U.S./ˌmaelˌɡreɪ ˈlwi/: in spite of himself, herself, or itself. "malgré elle" (also "malgré eux", "malgré moi", etc.): in spite of herself (themselves, myself, etc.).
"malgré tout": despite everything.