Where he carried out experiments on live dogs, and published his findings in a book entitled Del Nuovo Metodo di Cucire gl'Intestini.
Grima left Florence as an approved surgeon in 1758 and, by the permission of the Order arrived in Paris in 1760 and served as a medic with the French troops during the Seven Years' War.
Where he wrote his second book about his work on the wounded soldiers, entitled Della Medicina Traumatica.
Grima returned to Malta in 1763 and was immediately given the post of Chief Surgeon at the Holy Infirmary.
In 1783, Grandmaster Emmanuel de Rohan-Polduc commissioned him to test the legitimacy of the remedial measures of Mesmer's method of animal magnetism.