* Netanyahu and President Trump to meet on Wednesday
* Palestinian issue, Middle East security, Iran on agenda
* Israeli PM takes cautious line on Palestinian state
By Luke Baker
WASHINGTON, Feb 14 (Reuters) - Prime Minister Benjamin Netanyahu, preparing for his first meeting with President Donald Trump at the White House, will work with advisers on Tuesday to align Israeli and U.S. thinking on the Middle East and ensure "no gaps" remain.
Staff have cleared most of Tuesday for discussions with Israel's ambassador to the United States, Ron Dermer, and other senior advisers ahead of Wednesday's Oval Office meeting. The only event of the day is an evening meeting with U.S. Secretary of State Rex Tillerson.
"There isn't going to be any daylight, no gaps," one adviser said as the prime minister left for Washington, the first time Netanyahu, the head of a right-wing coalition, has overlapped with a Republican in the White House in four terms in office.
Those reassurances came as Netanyahu took a cautious line on whether he would support a two-state solution to the Israeli-Palestinian conflict, the bedrock of U.S. diplomacy for two decades, when he sits down with Trump.
During the presidential campaign, Trump was often unabashedly pro-Israel, promising to move the U.S. embassy from Tel Aviv to Jerusalem, backing David Friedman, a supporter of settlements, as his envoy to Israel, and saying that he wouldn't apply pressure for talks with the Palestinians.
But in the three-and-a-half weeks since taking office, positions have shifted. The embassy transfer has been put on hold as the fallout from such a move, not least the potential for unrest across the Middle East, has been explained, including by Jordan's King Abdullah during an impromptu visit.
When it comes to settlements, Trump has laid out a more nuanced position, saying that while he does not see them as an obstacle to peace, building new ones or expanding existing ones beyond their current boundaries is "not good".
And rather than no pressure for peace talks, Trump has said he wants to have a go at the "ultimate deal". In an interview with newspaper Israel Hayom last week, he urged Israel to act "reasonably" in the Middle East peace process.
LEADERS IN LOCKSTEP
For Netanyahu, under investigation at home in two criminal cases involving allegations of abuse of office, ensuring he and Trump are in lockstep is critical to putting the friction of the Obama administration behind him and laying the ground for a more fruitful relationship with the United States.
At a time when the Middle East is in turmoil and Palestinian politics is fractured by long-standing divisions between the Western-backed Fatah party and the Islamist group Hamas, Israeli officials argue that the time is not ripe for peace.