Final answer:
The first meeting between the Finch children and Dill in 'To Kill a Mockingbird' is when Dill comes to stay with his aunt and runs into the Finches' yard.
Step-by-step explanation:
The first meeting between the Finch children and Dill in the novel To Kill a Mockingbird by Harper Lee takes place when Dill comes to stay with his aunt, Miss Rachel, who lives next door to the Finches. Scout, Jem, and Dill meet for the first time when Dill runs into their yard and starts telling them stories. They quickly become friends and spend their summer playing and going on adventures together.