It is expected that Trumps & Putin will be meeting on the sidelines of the G20 meeting in Japan next month. This was confirmed during Pompeo's visit to Russia where he discussed Syria, Afghanistan and Venezuela with his counterpart but significantly left out Russian annexation of Crimea - the main sore point of Europe.

In a subsequent meeting, Putin made it clear that the sanctions must go.
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With the dice loaded against any such meeting due to:
a) Communism an ever present threat and so
b) the needs to maintain the military-industry complex and
c) the politics of oil (Russian reserve is as large as Saudi Arabia's)

what can we expect from the Trump and Putin meeting?

Somethings that promptly come to mind apart from a more enduring world peace, are:
a) Oil prices stable for next two decades giving the much needed time to develop the technology for alternate energy.
b) Joint ventures in Space

Any other compelling reasons that may roll the dice favorably?

So how do presidents of two powerful nations negotiate?

First we have to understand the 'Nothing Fights'.
Biologists observed this in Ant Societies. Here is the scenario.



Replace 'foraging termites' with oil and 'larger ant workers' with nuclear missiles that no one can use and it explains the standoffs.



Biologists explain the Economics:



The excerpts are by Mark W. Moffett who shares a story that didn’t make it into his latest book “The Human Swarm: How Our Societies Arise, Thrive, and Fall,”

https://www.smithsonianmag.com/science-nature/when-it-comes-waging-war-ants-humans-have-lot-common-180972169/

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Moffett concludes that with ants its 'all out war', 'nothing fights'. 'raids' or 'break camps'; there are no negotiations.

but if ants could and were to negotiate how would their leaders do it? It would be in a private conversation, on these lines.

Ant Leader 1: I want you to back off from Venezuela.

AL2: Why should I?

AL1: I'm the only friend you got in the USA.

AL2: Okay, you got it. What else?

AL1: I want the Iranian reserves.

AL2: How possible after stopping sales from my reserve?

AL1: Alright, I will allow the pipeline to Europe.

AL2: Okay, what else?

AL1: Tell the Iranians to 'behave' till 2020

AL2: That I can, but how will you turn 'hostile' Iran to 'friend'

AL1: Tariff, 'for' Iranian Oil. Details later.

AL2: Okay, all the best.

Since Trump and the Republicans are both strongly OPPOSED to alternative energy development, and only support ONE "solution" to oil prices (increasing domestic production), the "compelling reasons" you like wouldn't be on their agenda.

appears that 'one solution' has two parts: (Leaving aside Russian ties for the moment)

Part 1 - Alternate Energy (High Tech)
From a thread in the Science Forum: JV on space with Japan where: 'solar energy converted to microwave and beamed by solar stations / or moon; to earth'.



Image is from the thread '50 years from now'

The space tech & infra are comparable to start up costs for (possibly) a few 100 MW nuclear power plants.

Requiring, development of extraordinarily technology, investments and time.

A joint venture in space with Russians mean that not all tech needs to be from US. Time saver.
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Part - II "Increase Domestic Production"

There's some good news from Forbes, Dec 2018



Oil reserves have doubled, seems transport / pipelines is the problem on hand.

Note: Author of article is himself surprised why main stream media has not reported on this, thus far.
https://www.forbes.com/sites/arielcohen/2018/12/21/americas-oil-and-gas-reserves-double-with-massive-new-permian-discovery/#407e03972c91

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Igor, allow me; since coming from a non-English culture, my write may sound a bit pompous (even to myself). Most of the time, it's unintentional.

Conclusion
The general impression has been that as any businessman, Trump is focused on short term cash flows, Alaskan oil; pipelines and so on. Somehow it's got into public's mind that this conflicts with long term, high risk investments on the future.

It's like somebody said, 'build the Wall before trying to remove failing dictators in South America'. While some of us see the conflict, others an alignment.