* Gold hit all-time high of $2,365.09 per ounce on Tuesday

* Gold could rally to $3,000 per ounce by 2025 - BofA

* Silver hit its highest since June 2021

* U.S. CPI and Fed minutes due on Wednesday

LONDON, April 9 (Reuters) - Gold prices hit a record high for an eighth consecutive session on Tuesday with support from momentum-following funds and inflated geopolitical tensions.

Spot gold was up 1.1% at $2,363.42 per ounce by 0936 GMT after hitting a record high of $2,365.09.

"Strong underlying momentum with the buy-on-dip still the prevailing strategy among traders," said Ole Hansen, head of commodity strategy at Saxo Bank.

"Geopolitical risks related to Russia/Ukraine and the Middle East are still playing a supporting role, and the focus is changing from the negative impact of lower rate cut expectations towards higher and sticky inflation," he added.

The broader market is waiting for the U.S. Federal Reserve's policy meeting minutes and U.S. inflation data due on Wednesday for fresh signals on future U.S. rate path.

Elevated interest rates usually constrain the appeal of holding non-yielding gold, but the precious metal has been ignoring these factors so far this month.

From the technical point of view, the April rally moved spot gold prices deep into the overbought territory, as indicated by the relative strength index.

Spot silver rose 1.0% to $28.11 per ounce after hitting $28.15, its highest level since June 2021.

"Silver is trying – for a second day – to gain a foothold above $28. If successful, gold may enjoy some additional tailwind," Hansen added.

Supporting the momentum further, analysts at BofA said in a note on Tuesday that gold could rally to $3,000 per ounce by 2025, and silver would benefit from that as well as stronger industrial demand taking above $30 within the next 12 months.

Platinum gained 2.3% to $980.9 and palladium rose 1.7% to $1,060.75. Palladium prices, according to BofA, are set to trend lower underperforming platinum in the longer term as demand is dominated by auto catalysts.

(Reporting by Polina Devitt in London; Sherin Elizabeth Varghese in Bengaluru; editing by)