China's Ministery of Commerce announced that the FTA with Peru will be effective next year, see here. Hong Kong S.A.R., which is a separate jurisdiction from the People's Republic of China, is not included in this agreement.
Song Shutao of Xinhua wrote in May 2008 that Hong Kong S.A.R. and Peru signed a Cooperation Arrangement on Trade and Investment Facilitation.
Song wrote: "It also covers cooperation between the two economies in areas of intellectual property rights, customs and competition-related matters, as well as technical assistance and capacity-building in areas of mutual interests."