[1][2] Malim found time for foreign travel; on his own account he visited Constantinople, Antioch, Jerusalem, and other eastern cities.
But he discontinued the study on his appointment as headmaster of Eton in 1561, in succession to William Barker, and resigned his fellowship at King's soon afterwards.
While at Eton he drew up a Consuetudinarium, or account of the rules and observances of the college, probably composed, with a view to the visit of the royal commissioners in 1561.
It was in his time that the cases of flogging, followed by the escape of some scholars from Eton, occurred, which suggested to Roger Ascham, in 1563, the composition of his Scholemaster.
His extant pieces are chiefly commendatory Latin verses or letters prefixed to the works of friends: such as the De Republica Anglorum Instauranda of Sir Thomas Chaloner, Nicholas Carr's translation of the Olynthiacs, 1571, Edward Grant's Spicilegium, 1575, and the Chartæ Geographicæ Zutphaniæ, 1586.
The long title begins: The True Report of all the successe of Famagosta, of the antique writers called Tamassus, a citie in Cyprus, &c. The dedication to the Earl of Leicester, which occupies seven pages out of a total of forty-eight, is dated "from Lambheth, the 23rd of March, An.