NEW YORK, New York - U.S. stock markets rose Tuesday as investors and traders anticipated a positive outcome from ongoing trade talks between China and the United States in London.

The talks were expected to end Tuesday night, but could advance into Wednesday.

"I think the talks are going really, really well. We're very much spending time and effort and energy, everybody's got their head down working closely,"  U.S. Commerce Secretary Howard Lutnick told a news conference at Lancaster House, the venue for the talks in London, on Tuesday.

Wall Street responded with gains for a second straight session on Tuesday, with the S&P 500 and Nasdaq Composite leading the charge as investor optimism grew ahead of the outcome of the talks in London, and key economic data.

"Technically, shares have been on a nice run eclipsing key levels to get back on track. Longer-term they started the week right above its downtrend line going back to its annual highs," Jay Woods, chief global strategist of Freedom Capital Markets told CNBC Tuesday.

"The rally looks like many other technology names that are trying to get back to old highs. The good news is that given the change in trajectory, even weakness looks to have a soft-landing spot and good entry point from a risk/reward perspective," Woods said.

The benchmark Standard and Poor's 500 on Tuesday climbed 32.93 points, or 0.55 percent, to close at 6,038.81. Trading volume reached 2.915 billion shares as technology and consumer discretionary stocks outperformed.

The Dow Jones Industrial Average rose 105.11 points, or 0.25 percent, finishing at 42,866.87, supported by gains in industrial and financial sectors. Meanwhile, the tech-heavy Nasdaq Composite rose 123.75 points, or 0.63 percent, to 19,714.99, with trading volume hitting 10.23 billion shares amid strong demand for AI and semiconductor stocks.

Global Forex Markets Show Mixed Movements as U.S. Dollar Gains Against Some Majors on Tuesday

The foreign exchange market saw varied movements on Tuesday, with the U.S. dollar strengthening against some currencies while weakening against others amid shifting economic expectations.

The euro (EUR/USD) rose slightly, gaining 0.11 percent to trade at 1.1430 Tuesday, as investors assessed recent European Central Bank commentary. Meanwhile, the U.S. dollar (USD/JPY) strengthened against the Japanese yen, climbing 0.16 percent to 144.82, its highest level in weeks amid expectations of prolonged U.S. interest rate stability.

In North America, the Canadian dollar (USD/CAD) edged higher, with the U.S. dollar dipping 0.10 percent to 1.3685, as oil price fluctuations influenced the commodity-linked currency. The British pound (GBP/USD), however, faced pressure, falling 0.33 percent to 1.3503 following weaker-than-expected UK economic data.

The Swiss franc (USD/CHF) weakened slightly, with the U.S. dollar gaining 0.13 percent Tuesday to 0.8225, while the Australian dollar (AUD/USD) rose 0.11 percent to 0.6522, supported by improved risk sentiment.

The New Zealand dollar (NZD/USD) also saw modest gains, inching up 0.05 percent to 0.6048.

Global Markets Show Mixed Performance as Key Indices Close with Varied Results on Tuesday

Global stock markets delivered a divided performance on Tuesday, with some indices posting gains while others retreated amid fluctuating investor sentiment.

In Canada, the S&P/TSX Composite advanced 50.51 points, or 0.19 percent, closing at 26,426.31, as energy and materials stocks offset weakness in financials. Trading volume stood at 280.034 million shares.

In London, the UK's FTSE 100 edged higher, closing at 8,853.08, up 20.80 points or 0.24 percent.

Meanwhile, in Germany the DAX saw a notable decline, dropping 186.76 points or 0.77 percent to finish at 23,987.56.

France's CAC 40 managed a modest gain, rising 12.86 points or 0.17 percent to 7,804.33, while the Euro Stoxx 50 dipped slightly by 6.14 points or 0.11 percent to 5,415.38.

The broader Euronext 100 inched up 2.58 points or 0.16 percent Tuesday to 1,597.67, while in Belgium the BEL 20 climbed 15.30 points or 0.34 percent to 4,555.90.

In Asia, markets were similarly split Tuesday. Hong Kong's Hang Seng Index slipped 18.56 points or 0.08 percent to 24,162.87, while in Singapore the  STI Index dipped 2.52 points or 0.06 percent to 3,933.80.

China's Shanghai Composite declined 14.96 points or 0.44 percent to 3,384.82, while in Japan Tuesday, the Nikkei 225 rose 122.94 points or 0.32 percent to 38,211.51.

Australia's S&P/ASX 200 advanced 71.50 points or 0.84 percent to 8,587.20, and the All Ordinaries rose 70.80 points or 0.81 percent to 8,812.70.

In India the S&P BSE Sensex saw a marginal decline, losing 53.49 points or 0.06 percent to settle at 82,391.72.

Indonesia's IDX Composite, however, jumped 117.32 points or 1.65 percent to 7,230.75, while in Malaysia Tuesday, the KLSE fell 2.46 points or 0.16 percent to 1,516.95.

New Zealand's S&P/NZX 50 gained 25.16 points or 0.20 percent to 12,564.42, and in South Korea the KOSPI advanced 16.08 points or 0.56 percent to 2,871.85.

Taiwan's TWSE Index was among the top performers, soaring 451.85 points or 2.07 percent to 22,242.14.

In the Middle East Tuesday, in Israel the TA-125 slipped 4.00 points or 0.15 percent to 2,742.47, while Egypt's EGX 30 climbed 226.20 points or 0.69 percent to 32,904.10.

In Africa, the JNOU.JO index in South Africa rose 18.63 points or 0.35 percent to close Tuesday at 5,401.97.

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