Besides on the field of battle. What did the two think of each other?
No, they never met. There were only two main time periods during which a member of the British elite could meet Napoleon. The first was during the short-lived Peace of Amiens between Britain and French Consulate during March 1802 and May 1803. The second window of opportunity was between 23 and 31 July 1815 when Napoleon was a prisoner on HMS Bellerophon. If you look at this timeline of Wellington's life, he was in India during the Ameins peace and Supreme Commander of the Allied occupation army in France in 1815.