Lewis & Short

pĕr-ămans, antis, Part. [amo], very loving, very fond: homo peramans semper nostri fuit, Cic. Att. 4, 8, b, 3.
Adv.: pĕr-ămanter, very lovingly: perofficiose et peramanter aliquem observare, Cic. Fam. 9, 20, 3.