Alexa V. answered 05/16/19
10+ Years Translating Japanese-English with JLPT N2 Certification
Without seeing the page you're referring to, I would wager your instinct is correct. The character you're referring to essentially removed the 「言った」of the sentence (the long, correct form of the sentence being 「私を殺したあの時と言った」). As you assumed, it's meant to be gathered from context. :)