The draw put paid to their quest of finishing second in the League, as UniKL with two matches in hand are snapping at their heels.
PJCC's haikal Zanri gave them the lead in the eighth minute, but KLSS drew level off a Hariz Syazani goal in the 33rd minute and held on for the remainder of the match.
In another Division One match, Olak PKT Tigers claimed their second win of the tournament when they beat Politreknik 1-0 with an Ammirul Hafiz goal in the 54th minute.
Double champions Thunderbolts are champions in waiting as they only have one more match against their juniors next weekend to seal the title.
PJCC team manager Zanal Abidin rued their missed sitters: "We had many chances to seal three points but failed to convert. Now we only have an outside chance of finishing second, provided we win our final match against UniKL (next Friday). But I believe its going to be a tough match going by UniKL's form this season."
RESULTS -- Division One: PJCC 1 KLSS 1, Olak PKT Tigers 1 Politeknik 0.
Division Two Group A: SM Sains 0 1MAS Pahang 4, BJSS Jnrs 4 MSNT-THT 1.
Group B: MSS Kedah 0 ISMO PHA 6, Nur Insafi PHA 0 1Mas Perlis 3, Larut matang 0 1Mas Penang 13.
Group C: Datuk Taha 0 1Mas Malacca 10, SMSJ Kinghts 4 1Mas TBSS 6.
TODAY -- Division One: KLHC v BJSS (KLHA), SSP-MSP-Thunderbolts v Politeknik Malaysia (Temerloh), SSTMI Juniors v UniKL Young Guns (Taman Daya).
Division Two Group C: 1Mas Johor v SMK Tun Hussien Onn (Batu Pahat).
Note: All matches at 4.45pm.
DIVISION ONE
P W D L F A Pts
THUNDERBOLTS 7 6 1 0 29 9 19
PJCC 7 5 2 0 22 7 17
UNIKL 6 5 0 1 27 9 15
PSS T'DERBOLTS 6 3 0 3 14 13 9
KLSS-KLHC 6 2 2 2 9 10 8
OLAK 8 2 0 6 10 27 6
POLITEKNIK 6 1 1 4 6 15 4
BJSS 5 1 0 4 5 16 3
SSTMI JNR 5 0 0 5 2 18 0