Carlevarijs was born in Udine. He was also known as Luca Casanobrio or Luca di Ca Zenobri, for his patronage by the latter family. He worked principally in Venice, where he also died. His daughter, Marianna Carlevarijs (1703 - 1750) learned the art of pastel portraiture from Rosalba Carriera.
Carlevarijs visited Rome. Here he was influenced by the Dutch painter Caspar van Wittel (often called Vanvitelli), who was a long-term resident of Rome. Van Wittel was the pioneer of the genre of vedute of Rome. Carlevarijs then started to create vedute of Venice, which are among the earliest Baroque depictions of the city.