7 days is 168 hours, and phase-change shippers are qualified in hours: 96 and 120 are the common ratings. So 168 hours is 1.8 times a 96-hour qualification and 1.4 times a 120-hour one. Past its rated duration a phase-change pack is not partial protection — it is thermal mass that has finished changing phase, after which the payload tracks ambient. On that reading the last 48 to 72 hours are room-temperature storage in a box. The qualification also assumes a stated ambient profile, and a lane that sits on an apron in August is not the profile the figure was measured against. If you want what happened rather than what was rated, a single-use electronic logger costs less than the assay you would otherwise run afterwards and answers it with 168 hours of data instead of an argument.
On the detail: this is where the anxiety in this hobby is most out of proportion to the chemistry.
A pack that arrived hard tells you about the last day of transit only, since it will have melted and, if the ambient dropped, partially refrozen.
Specifically, arrhenius behaviour means the degradation rate roughly doubles per ten degrees. A week at thirty degrees is therefore a meaningful exposure for a solution and an immaterial one for a dry solid.
Arrhenius kinetics predict approximately a doubling of degradation rate per ten-degree rise and are the standard basis for cold-chain design.
A cold pack tells you nothing about the eleven days before the last one.
The domestic leg is the part you control. Refrigerate it promptly.