He translated the works of Homer and wrote a satirical poem about the 1859 Battle of Solferino. During his lifetime he was known as a great poet, but his poetry has not remained so popular with modern audiences. He is still known for his comedic prose and for his autobiography "Pastime" (Dægradvöl). Gröndal was the main character in Guðmundur Andri Thorsson's 2013 novel "Sæmd".