Answered by ZUPAN | Dec. 20, 2019 12:55
Dina, here we talk about two things. The first one, that you are definitely eligible for, both ways, is 24 hour visa free transit. This is your right to travel through China from one to the other country. OK, we have resolved this detail.
The second one is a temporary entry permit that you can apply for at the airport in China upon your arrival there. In other words, you will be definitely allowed to use 24 hour visa free transit and to travel safely from US to Indian via China and vice versa, but to be allowed to exit the airport in China, you will have to apply for a temporary entry permit upon your landing. Now, I hope, that we have cleared this detail.
You will, of course, apply for a temporary entry permit upon your landing in Beijing at 24 hour visa free transit counter. You are advised to bring a confirmation of your accommodation booking or a booking of your layover tours. These details will definitely increase your chances to be granted a permit to practically certain level. Of course, you are allowed to apply even without the mentioned bookings, but then your chances diminish. You have to be aware that the issuing of this permit always depends upon discretion of immigration authorities,
If I were you, I would book a layover tour during a 14 hour layover and make a visit to the Great Wall and maybe to the Forbidden City or some other Beijing attraction and for the second stop, I would just apply without any booking. It is too short time to book anything, but you can have another opinion of course.
As you can see, now when you know everything about your situation, you will bring the best decisions for your travel needs.