The defending J.League champions suffered a shock loss at home to Urawa Red Diamonds last week, but they looked on course for three points on Saturday when Naoki Ishihara put them ahead in the 75th minute.
While Kun-Hoan Kim equalised in the 81st minute, the visitors would have the last laugh and their first win of the season when Kazuhiko Chiba netted three minutes later.
Their conquerors last week are one of four teams with two wins from two, with the Diamonds grateful for a 54th-minute strike from Tomoya Ugajin in their 1-0 win against Nagoya Grampus Eight.
Yokohama F. Marinos, FC Tokyo and Cerezo Osaka are the other teams with 100 per cent winning records.
Marcos Marquinhos' 19-minute hat-trick inspired Yokohama to a 5-0 rout of Shimizu S-Pulse.
First-half goals from Shunsuke Nakamura and Shingo Hyodo put them on their way, while Marquinhos bagged in the 71st, 88th and 90th minutes to seal a comprehensive victory.
FC Tokyo also looked formidable as they saw off Kashiwa Reysol 3-0.
Kazuma Watanabe put the hosts on their way with strikes in the sixth and 28th minutes, with Aria Jasuru Hasegawa sealing a comfortable win 12 minutes from time.
Hotaru Yamaguchi snatched a 2-1 victory for Cerezo Osaka at Vantforet Kofu, who looked on course for a point after Hugo Almeida had cancelled out Yoichiro Kakitani's opener.
Jose Silva Davi bagged a brace to help Kashima Antlers edge out Vegalta Sendai 3-2.
The Brazilian opened the scoring just before the half hour and although Yoshiaki Ota levelled proceedings just after half-time, Yuya Osako immediately put the hosts back in front and Davi added his second a minute later before Rodrigues Wilson set up a tense finale with his strike in the 67th minute.
Ryunosuke Noda's goal eight minutes from time helped Sagan Tosu to a 1-1 draw at Shonan Bellmare, who took a 50th-minute lead through Ryota Kajikawa.
Kosuke Kikuchi's effort just before the hour gave Omiya Ardija a 1-0 success at winless Jubilo Iwata, while Yoshito Okubo rescued a 1-1 draw for Kawasaki Frontale against Oita Trinita, who had taken the lead through Yu Yasukawa.