How does the domestic MF cos arrive on NAV of International Funds?

Can anyone please guide me, are there any cut-offs timings, domestic MF cos has when it comes to Fresh/Additional Subscription in International funds they offer?

For eg - Motilal Oswal S&P 500 index fund.

So if I were to invest or put in additional investment into above funds, NAV is applied for the same US day (T+0) or T-1?

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This depends on the AMC on how they want to compute the NAV. If you consider a fund investing in US markets, then they may decide to compute the NAV as per the last closing prices of securities on T-1 day or it may be calculated on the morning of T+1 day post-market hours and the units will be allotted accordingly. If the security listed is in a time zone ahead India, then same closing prices maybe considered (for ex Asian markets) .The AMC discloses this information in their SID as well.

For example, the NAV for Motilal Oswal S&P 500 Index fund is based on the last closing prices of the securities on the US stock market. Below is a screenshot from their SID.