(CNN) Ukrainian officials are discussing ways to improve their country's standing with President Donald Trump amid the continuing fallout from the impeachment inquiry, two sources told CNN.

Those sources, who recently met with Ukrainian officials, said that the Ukrainian government could still announce new investigations which could be seen as politically beneficial to the US President. However, it is unclear what exactly those potential investigations would cover or when they would be announced. One source told CNN that Ukrainian officials recognized that any potential investigations would need to look into current issues and not just those of the past.

The Ukrainian Embassy in Washington did not reply to a request for comment.

Trump's request for Ukrainians to investigate their country's interference in the 2016 election -- a debunked theory -- and former Vice President Joe Biden and his son, Hunter Biden, is a cornerstone of the House Democrats' impeachment investigation. Whether that request was tied to a White House meeting and the withholding of military aid to Ukraine is at the crux of the impeachment inquiry.

Numerous witnesses in the inquiry have testified both publicly and privately about efforts made by Trump administration officials -- namely Ambassador to the European Union Gordon Sondland and former US Special Representative for Ukraine Kurt Volker -- and Rudy Giuliani to get the Ukrainians to make a public statement committing to those investigations.

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