Conversation so far:
When did Henry Dunant found the red cross?
17 February 1863
Did anything significant happen at the first meeting of the Red Cross with Henry Dunant?
Their aim was to examine the feasibility of Dunant's ideas and to organize an international conference about their possible implementation.
What happened after the first meeting of the Red Cross with Henry Dunant?
From early on, Moynier and Dunant had increasing disagreements and conflicts regarding their respective visions and plans.

Question: Why did they disagree?
Self-contained rewrite: Why did Moynier and Henry Dunant disagree?