Asian indexes traded mostly lower on Wednesday after the softer lead from Wall Street, with the vote on a bill to replace Obamacare in the U.S. delayed.

The Nikkei 225 (Nihon Keizai Shinbun: .N225) declined 0.05 percent and South Korea's Kospi was off by 0.12 percent.

In Australia, the S&P/ASX 200 (ASX: .AXJO)reversed earlier losses to trade higher by 0.25 percent.

Markets in greater China trended lower. Hong Kong's Hang Seng Index (Hong Kong Stock Exchange: .HSI) was down by 0.15 percent. The Shanghai Composite (Shanghai Stock Exchange: .SSEC) declined 0.39 percent and the Shenzhen Composite was off by 0.374 percent in early trade.

Markets in Indonesia are closed until the end of the week.

Stateside, Senate Majority Leader Mitch McConnell said on Tuesday that the health-care vote would be delayed until after July 4. The controversial new health-care bill would repeal Obamacare taxes, restructure subsidies to insurance customers and phase out Medicaid's expansion program. It could also result in 23 million more uninsured Americans , according to the Congressional Budget Office.

The scuttled vote likely signaled the market that U.S. President Donald Trump's efforts to push through his agenda were struggling, suggesting a hard slog for market-positive elements, such as infrastructure spending.

Markets also digested European Central Bank President Mario Draghi's comments that the central bank could potentially "adjust" its policy in response to "improving economic conditions."

"The current asset buying program runs until the end of the year, so traders now think the ECB's September may include an announcement to taper," said ThinkMarkets Senior Market Analyst Matt Simpson in a Wednesday morning note.

The euro (Exchange: EURBA=) traded at a ten-month high against the dollar following the news. The common currency traded at $1.1341 at 9:35 a.m. HK/SIN.

Other European currencies also edged higher. The Danish krone (Exchange: DKK00H=) traded at 6.5553 to the dollar at 9:35 a.m. HK/SIN, compared with the 6.6 handle seen for most of June. The Swiss franc also made gains, trading at 0.9601 to the dollar, compared with levels around the 0.97 handle seen earlier.

In corporate news, Toshiba (Tokyo Stock Exchange: 6502.T-JP) will hold its annual meeting on Wednesday. The company has yet to sign a deal with the preferred bidder, a consortium led by the Innovation Network Corporation of Japan, for the sale of its memory chip unit. Toshiba had promised to sign the deal by the meeting, but said in statement that "negotiation is still continuing." Toshiba shares were lower by 0.48 percent in early trade.

Meanwhile, Western Digital (NASDAQ: WDC) and KKR & Co. have submitted a fresh offer for Toshiba's memory unit, Reuters said. Western Digital jointly operates Toshiba's main chip plant and had sought to block the sale of the latter's chip business.

Takata (Tokyo Stock Exchange: 7312.T-JP) shares were down 65.45 percent two days after the company filed for bankruptcy. Defective airbags produced by the auto-parts manufacturer have been linked to at least 17 deaths.

Oil prices gave up some gains after rising almost 2 percent overnight. Brent crude fell 0.43 percent to trade at $46.45 a barrel and U.S. crude traded lower by 0.66 percent at $43.95.

In currencies, the dollar index (New York Board of Trade (Futures): =USD), which tracks the dollar against a basket of rival currencies, tumbled to trade at 96.447, below the 97 handle seen for the last two weeks.

The greenback (Exchange: JPY=) also ceded ground after hitting a five-week high against the yen earlier in the session. The dollar/yen traded at 112.12 at 9:36 a.m. HK/SIN.

U.S. stocks closed lower on Wall Street following the Senate's decision to postpone voting on a new health-care bill. Technology stocks also fared poorly, with Alphabet (NASDAQ: GOOGL) falling by more than 2 percent. The EU fined Alphabet unit Google a record $2.7 billion, as regulators ruled the company violated antitrust rules.

— CNBC's Dan Mangan and Kayla Tausche contributed to this report.

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