The prince, known as MBS, is also expected to visit China, Malaysia and Indonesia during a tour that will be his first through the region since the storm over the murder of Jamal Khashoggi, a Washington Post columnist, at the Saudi consulate in Istanbul last October.
Prince Mohammed is due in visit Pakistan this weekend, when he is expected to ink agreements, mainly linked to a refinery and the power sector, Pakistani officials said.
He is expected in New Delhi next week, along with leading Saudi businessmen, at the invitation of Prime Minister Narendra Modi, India's foreign ministry said on Tuesday.
Pakistan's new Prime Minister Imran Khan was among a handful of heads of state who attended Riyadh's flagship investment conference that month, an event that was boycotted by many companies and world leaders in protest over Khashoggi's murder.
India's Modi met the prince in November, when they were both in Argentina for a Group of 20 summit. Though Saudi Arabia remains India's top crude oil supplier, the two countries have expanded ties beyond energy, and their governments have agreed to build a strategic partnership, the foreign ministry said.
"In recent years, there has been significant progress in bilateral cooperation in key areas of mutual interest, including energy security, trade and investment, infrastructure, defence and security," the ministry said in a statement.
India is expecting Prince Mohammed to announce an initial investment in its National Investment and Infrastructure Fund, a quasi-sovereign wealth fund, to help accelerate the building of ports and highways, an Indian official said.
Saudi Arabia has also flagged a desire to invest in India's farm sector, with products to be exported to Saudi, another official at the trade ministry said.
However, progress on a $44 billion refinery that Indian state-run oil companies agreed to build with Saudi Aramco on India's west coast has been held up by strong opposition from mango farmers who will lose their land.
Since taking office in 2014, Modi has sought to use India's fast-growing economy to attract more investment from Saudi Arabia and other Islamic nations.
As a fellow Muslim country, Pakistan has long maintained strong ties with Saudi Arabia. In late October, Riyadh offered Pakistan a $6 billion loan to help keep its ailing economy afloat. Saudi Arabia has also announced plans for a $10 billion refinery and petrochemical complex at the coastal city of Gwadar, where China is building a port as part of its vast Belt and Road initiative.
"They’re looking at the energy sector, at some of our privatization plans that they might bid for through our privatization process," Pakistani investment minister Haroon Sharif told Reuters.
Sharif, who chairs Pakistan's Board of Investment, said there was also Saudi interest in Pakistan's mining sector.
"Saudi Arabia has huge resources. Their investment fund is over $1 trillion, so we want just a fraction of that," said a second Pakistani minister, who did not wish to be named.