They are set to discuss Iran, Lebanon, Syria and Gaza, where the Trump administration wants to see the ceasefire enter its second stage in January.
The drills come days after the US announced the sale of one of its largest weapons packages to Taiwan.
Both the US president and Zelensky describe talks in Florida as "great" and "terrific" but the issue of territory remains "unresolved".
The ceasefire took effect at noon local time (05:00 GMT) on Saturday.
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