We conducted a deep survey of z=7 Ly-alpha emitters (LAEs) with 13 hours of narrowband NB973 (centered at 9755A with FWHM=200A) imaging of the Subaru/XMM-Newton Deep Field, using the fully depleted CCDs newly installed on the Subaru/Suprime-Cam, which is twice more sensitive at ~1um than the previous CCDs. Reaching NB973=25.4 (5 sigma), 0.5 mag deeper than the previous survey that discovered a z=6.96 LAE, we detected at least two probable z=7 LAE candidates in addition to 8 less robust but possible candidates. Even if we assume that all the 10 candidates are real, the LAE number density at z=7 is lower than those at the later epochs, at least 16-31% and 31-52% of those at z=5.7 and 6.6 to the limit of L(Ly-alpha) = 6.0 x 10^42 erg/s. This number deficit might reflect the larger neutral hydrogen fraction at z=7, supporting the late reionization suggested by the previous surveys of z=5.7-7 LAEs, z~6 quasars and z > 6 gamma-ray bursts.