prepositional with "A"

Question 1

Vim aqui a falar contigo

Answer 1

Purpose

“I came here to talk to you”

Saiu a comprar pão = “He went out to buy bread”
Vou à loja a buscar leite = “I’m going to the store to get milk”

Question 2

Chegou a correr

Answer 2

Simultaneous action

“He arrived running”

Entrou a gritar = “He entered shouting”