June 30th-July 2nd: Chaplin attends the annual United Artists Sales Convention at the Ambassador Hotel.
Chaplin announced during the proceedings that he would make two pictures during the 1936-37 production season, including one starring Paulette in a leading role. (Of course, he never made them.)
Read more about the convention here.
I couldn't find a photo of Chaplin at this meeting but here is one from the July 1935 convention. Chaplin's dyed hair indicates that he was in the midst of filming Modern Times.
Day By Day: 1936: A chronicle of one year of Chaplin's life.