Short answer. Yes, but only for a time. The carrier's extraordinary liability continues while your goods sit in its warehouse at the destination — but only until you, the consignee, have been told the goods arrived and have had a reasonable chance to collect them. After that, the carrier answers merely as an ordinary warehouseman.
What the law says
The extraordinary liability of the common carrier continues to be operative even during the time the goods are stored in a warehouse of the carrier at the place of destination, until the consignee has been advised of the arrival of the goods and has had reasonable opportunity thereafter to remove them or otherwise dispose of them.
Civil Code, Article 1738 — How Long Extraordinary Liability Lasts in the Warehouse. Read the full provision →
The liability does not stop at the warehouse door
A common carrier's heightened duty does not end the moment the truck or ship is unloaded. Article 1738 provides that the extraordinary liability of the common carrier continues to be operative even during the time the goods are stored in a warehouse of the carrier at the place of destination. So goods waiting in the carrier's own depot for collection are still held to the carrier's standard of extraordinary diligence, not the gentler standard of an ordinary storage company. The transit is over, but the special responsibility that comes with being a common carrier is not — yet.
Two things end the heightened duty
The article does not make that duty last forever. It continues until the consignee has been advised of the arrival of the goods and has had reasonable opportunity thereafter to remove them or otherwise dispose of them. Two conditions must both be met: the consignee must actually be notified that the goods have arrived, and, after that notice, must be given a reasonable window to take them away. Notice without a fair chance to collect is not enough, and a chance to collect that the consignee never knew about is not enough either. Both have to happen before the clock runs out.
What 'reasonable opportunity' turns on
What counts as a reasonable opportunity is a question of fact, not a fixed number of days. It depends on the nature and volume of the goods, how far the consignee is, the notice actually given and ordinary business practice at the port or terminal. Perishable cargo and a container-load of machinery do not carry the same window. Once the consignee has been advised and that reasonable period has passed, the goods left uncollected are no longer under the carrier's extraordinary liability; the carrier then holds them as an ordinary depositary, answerable only for a failure to take the diligence of a good father of a family.
If the goods are lost while still in the window
The practical importance of the article is who bears a loss that happens after arrival but before you have had your fair chance to collect. If the warehouse floods, is burgled or catches fire in that period, the carrier is answering under its extraordinary liability, and it must show one of the law's excusing causes to escape — the same demanding standard that applied in transit. To know which side of the line a loss falls on, pin down the dates: when the goods arrived, when and how you were notified, and what reasonable time you were allowed before the loss occurred. Keep the arrival notice.