* Riyadh believes Maliki is too close to Iran

* Saudi-Iraqi relations frosty since Saddam fell in 2003

* Saudi firms lag Turkish, UAE, Iran rivals in Iraq market

By Ulf Laessing

BAGHDAD, Aug 2 (Reuters) - Saudi Arabia wants to play a
bigger role in Iraq to counter Iran's growing influence during a
political stalemate in Baghdad, and to help Saudi companies to
catch up with regional rivals in opening up the Iraqi market.

But Riyadh, a bastion of Sunni Islam, is hoping that Iraq's
Shi'ite Prime Minister Nuri al-Maliki does not make a comeback
after inconclusive elections created a power vacuum,believing
that he is too close to the Shi'ite leadership in Tehran.

"The Saudis feel that Maliki is a man of Iran," said Saudi
political analyst Khaled al-Dakhil. "It seems to me the king
does not want to open an embassy as long as Maliki is there.
He's waiting for another prime minister or government."

The world's top oil exporter is trying to contain the
regional influence of Iran, which has clout among majority
Shi'ites in Iraq, and shares U.S. concerns that Tehran wants to
develop nuclear weapons, a charge Tehran denies.

"Now with the American withdrawal coming closer, the Saudis
will want to make sure the Iranians do not make any strategic,
tactical or political gains," said Theodore Karasik at the
Institute for Near East and Gulf Military Analysis in Dubai.

Saudi Arabia has already signalled that it wants to become a
more active player in its northern neighbour and fellow oil
producer, diplomats and analysts say.

Riyadh has entertained a series of Iraqi visitors and
allowed direct flights between the two countries after a 20-year
break, while trade has picked up.

According to Iraqi media, both sides are discussing a
security agreement -- Riyadh fears that al Qaeda might send
fighters over their remote 812 km common border, which Saudis
have also used to join militants.

TROUBLE IN ADJUSTING

Saudi Arabia and Iraq agreed to resume diplomatic relations,
which had been broken following the 1990 Iraqi invasion of
Kuwait, after the fall of Sunni dictator Saddam Hussein in 2003.
But ties have been frosty as Riyadh has had trouble adjusting to
the emergence of a Shi'ite-led government in Iraq.

Riyadh has rebuffed U.S. calls to open an embassy in
Baghdad, even after Iraq sent an ambassador in 2009, or forgive
huge loans made to Saddam to fund his 1980-88 war with Iran.

But the staunch U.S. ally might normalise ties with Baghdad
if the next Iraqi government is not headed by Maliki,
Saudi-based diplomats and analysts say.

Saudi Arabia is worried about the failure of Iraqi parties
to agree a new government since parliamentary elections on March
7 produced no outright winner, while the United States withdraws
troops and bombings still occur regularly, diplomats say.

Last month, the Saudi cabinet urged Iraq's political parties
to form a government quickly to improve stability and security.

Since the March election King Abdullah and other top Saudi
officials have received Iraqi politicians to signal a possible
normalisation if the next cabinet is not headed by Maliki, is
not close to Iran and if Sunnis have a say in it, diplomats say.

Saudi Arabia has said publicly it will reopen its embassy in
Baghdad once security allows it to, but officials have
repeatedly made clear their dislike of Maliki.

Former Saudi intelligence chief Turki al-Faisal accused
Maliki in May of trying to "deny the Iraqi people their
legitimately elected government", according to Saudi daily Arab
News.

"As far as the Saudis are concerned it all depends if Maliki
stays or not. If he's gone and the next government is less
pro-Iran there is a game change," a Western diplomat said.

King Abdullah has met former Prime Minister Iyad Allawi,
whose cross-sectarian Iraqiya coalition, backed by minority
Sunnis, won 91 seats, two more than Maliki's State of Law.

Maliki and Allawi both claim the prime minister's post with
talks dragging on between Shi'ite, Sunni and Kurdish lawmakers.

Other visitors to Riyadh included Iraqi Kurdistan President
Massoud Barzani and Ammar al-Hakim, head of the Iranian-backed
Shi'ite Supreme Islamic Iraqi Council (ISCI).

UNTAPPED IRAQ

Some diplomats say Saudi Arabia might try exploit an
apparent weakening of Iran by new U.N sanctions by using its
economic might and offer economic aid.

A thaw in relations would open the door for Saudi firms
spending billions of dollars on regional expansion to explore an
untapped country of 30 million where players from Turkey, the
United Arab Emirates and Iran are making inroads.

Hameed Fadhel, an analyst at Baghdad university, said Riyadh
wanted to pursue security cooperation with Iraq. "Saudi Arabia
and Iraq have joint interests in several areas such as security
... and economic cooperation," he said, also citing oil policy.

Interest of Saudi firms is picking up. In July, a Saudi
airline launched the first direct flights for almost 20 years.

Products of Saudi food firms such as Almarai are sold in
Iraq, though most exports go via Kuwait or Jordan as the only
land border crossing is closed, making Saudi goods more
expensive than more dominant Turkish ones, analysts says.

Last week, Iraqi media also reported government talks with a
Saudi firm in the oil hub Basra on a $300 million power deal.

"Iraq is a market that could offer 15-20 percent increase in
sales volume for particular products if potential is maximised,"
said John Sfakianakis, chief economist at Banque Saudi Fransi,
citing demand for steel, food, machines and building materials.
(Editing by Jim Loney and David Stamp)