Definitions: (1) proceeding from the heart; warm; affectionate; genial; (2) reviving of spirits; cheering; giving strength; invigorating

Synonym: gracious

The artist is the confidant of nature; flowers carry on dialogues with him through the graceful bending of their stems and the harmoniously tinted nuances of their blossoms. Every flower has a cordial word which nature directs towards him. — Francois Auguste René Rodin (1840–1917) French sculptor
• The way to make a true friend is to be one. Friendship implies loyalty, esteem, cordiality, sympathy, affection, readiness to aid, to help, to stick, to fight for, if need be. … Radiate friendship and it will return sevenfold. — Bertie Charles Forbes (1880–1954) Scottish-American financial author & founder of Forbes magazine

Saying: A bras ouverts (French): “with open arms”