But while their fight became public on Wednesday — after Disney rejected Mr. Peltz’s bid for a board seat — tensions between the two sides have been growing for months. Soon after, Mr. Peltz met with two Disney directors about potentially joining the board. Within days, Mr. Peltz called Mr. Chapek to start formal discussions between the two companies; they met on Nov 12. Executives from Trian and Disney met for 30 minutes later that month, and Mr. Peltz made his pitch to join the board. In early December, Mr. Peltz informed Disney of his intention to nominate himself for its board and pushed for a meeting.