Philippine President Benigno Aquino III has expressed regret over the bloodshed but considers the issue closed.
Manila city Manila Councilor Bernardito Ang visited Hong Kong last month to discuss the issue in a bid to soothe the strained relationship.
It's unclear what kind of sanctions Hong Kong would take. The city has maintained a "black" travel warning on the Philippines, a label it shares with Egypt and Syria. Some lawmakers have floated the idea of a ban against Filipinos working as domestic helpers in Hong Kong. That idea would face resistance from the vast numbers of middle-class families who employ more than 100,000 of them to help take care of children and elderly family members.
Leung urged Manila "to make a timely and concrete response, otherwise the incident will continue to stand in the way between the two governments and the peoples."
Philippine Foreign Secretary Albert del Rosario said, "We are working quietly to achieve a result that is mutually satisfactory."