All 4 Uses

cordial
in
Mrs. Dalloway
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There was a breath of tenderness; her severity, her prudery, her woodenness were all warmed through now, and she had about her as she said good-bye to the thick goldlaced man who was doing his best, and good luck to him, to look important, an inexpressible dignity; an exquisite cordiality; as if she wished the whole world well, and must now, being on the very verge and rim of things, take her leave.†
*

cordiality = friendliness
With all those degrees, honours, lectureships between him and the scribblers he suspected instantly an atmosphere not favourable to his queer compound; his prodigious learning and timidity; his wintry charm without cordiality; his innocence blent with snobbery; he quivered if made conscious by a lady's unkempt hair, a youth's boots, of an underworld, very creditable doubtless, of rebels, of ardent young people; of would-be geniuses, and intimated with a little toss of the head, with a sniff—Humph!†
Nothing that would serve to amuse her and make that indescribably dried-up little woman look, as Clarissa came in, just for a moment cordial; before they settled down for the usual interminable talk of women's ailments.†
Lady Bruton stood by Miss Parry's chair, a spectral grenadier, draped in black, inviting Peter Walsh to lunch; cordial; but without small talk, remembering nothing whatever about the flora or fauna of India.†

Definitions:

(1) (cordial as in: a cordial reception)
friendly -- usually warm and heartfelt, but possibly only polite
(2) (meaning too rare to warrant focus)
Less commonly, "cordial" can refer to a sweet drink. The drink can be non-alcoholic or alcoholic depending upon region and context.