After the talks, a Number 10 spokeswoman said:
The meeting reaffirmed the existing strong and historic bonds between the UK and Gibraltar and the Prime Minister repeated his commitment to stand shoulder to shoulder with the people of Gibraltar.
They discussed the unacceptable delays at the Spanish/Gibraltar border and agreed that these are damaging to the people and economies of Gibraltar and Spain.
They agreed that efforts should remain concentrated on finding a diplomatic solution, in line with the Foreign Secretary's proposals last year for ad hoc dialogue.
More top news
Two private citizens have already paid a "significant deposit" to take the week-long trip.
Slippy start tomorrow with frost & ice
The court will determine how much the UK government and travel firms knew about the risk of an attack on tourists holidaying in the area.