As of 0120 GMT, the main TAIEX index was up 86.40 points at 8859.95, after closing up 1.69 percent on Tuesday.
The electronics subindex was up 1.1 percent, while the financials subindex traded 0.8 percent higher.
Taiwan's technology companies are expected to report solid third-quarter results during the next few weeks due to strong demand, particularly for Apple Inc's new iPhone 6 smartphones, which use components made by Taiwanese firms.
Shares of panel maker AU Optronics Corp , rose 1.1 percent, ahead of its July-September results due after market close. Analysts polled by Reuters on average forecast third-quarter net profit of T$4.354 billion against T$4.03 billion reported in the second quarter.
The Taiwan dollar was up T$0.036 to stand at T$30.362 to the US dollar.