désir, envie → « Soon several of them were divulging their secret longings. » longing for sth = envie de qch → « She tried to put into words her longing for a baby. » nostalgie → longing for sth = nostalgie de qch
→ His longing for the Australian landscape drew him back.
« He felt a longing for the familiar = Il avait la nostalgie des choses familières. » [look, glance] plein d'envie / de nostalgie.